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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions

As of 13 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 0 inbound Pith citation observations for arXiv:2608.08259.

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pith.paper-citation-record.v1
2608.08259 v1

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measured 69 of 69 reference resolution

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Outbound references

Observation 88e47633-2d1f-44ff-9c75-9ec15cf6a5e4 · outbound

This paper cites NFMs are calculated for the event samples and shown in Figure 2 as a log-log dependence of𝐹 2(M) on the number of phase-space bins𝑀 2.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions NFMs are calculated for the event samples and shown in Figure 2 as a log-log dependence of𝐹 2(M) on the number of phase-space bins𝑀 2

Reference 1

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

Reference 2

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Observation c0425e60-f7c0-48fd-9df7-74602bb98c32 · outbound

This paper cites The ranks of these homology groups are the Betti num- bers, which quantify the distinct topological features present at a given spatial resolution.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions The ranks of these homology groups are the Betti num- bers, which quantify the distinct topological features present at a given spatial resolution

Reference 3

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This paper cites A machine learning classifier trained on these raw Betti curves could exploit this amplitude scaling to distin- guish classes by multiplicity rather than by cluster geometry.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions A machine learning classifier trained on these raw Betti curves could exploit this amplitude scaling to distin- guish classes by multiplicity rather than by cluster geometry

Reference 4

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This paper cites By treating the discrete scale parameter𝜀as an ordered sequence, the topological features are naturally processed by a one- dimensional convolutional neural network (1D CNN) [54].

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions By treating the discrete scale parameter𝜀as an ordered sequence, the topological features are naturally processed by a one- dimensional convolutional neural network (1D CNN) [54]

Reference 5

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

Reference 6

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This paper cites Figure 8 shows the resulting score distributions for signal (𝜆=0.05) and back- ground, normalized to unit area (probability density).

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Figure 8 shows the resulting score distributions for signal (𝜆=0.05) and back- ground, normalized to unit area (probability density)

Reference 7

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

Reference 8

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This paper cites Indian participation in the ALICE experiment at CERN,.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Indian participation in the ALICE experiment at CERN,

Reference 9

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

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This paper cites Signatures of QGP at RHIC and the LHC.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Signatures of QGP at RHIC and the LHC

Reference 11

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This paper cites Woithe, G.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Woithe, G

Reference 12

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

Reference 13

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This paper cites The theory of quark confinement.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions The theory of quark confinement

Reference 14

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

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This paper cites Exploring the QCD phase diagram through correlations and fluctuations.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Exploring the QCD phase diagram through correlations and fluctuations

Reference 19

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions The transition temperature in QCD

Reference 20

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This paper cites Odyniec (STAR), Beam Energy Scan Program at RHIC (BES I and BES II) – Probing QCD Phase Diagram with Heavy-Ion Collisions, PoSCORFU2018, 151 (2019).

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Odyniec (STAR), Beam Energy Scan Program at RHIC (BES I and BES II) – Probing QCD Phase Diagram with Heavy-Ion Collisions, PoSCORFU2018, 151 (2019)

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This paper cites Event-by-Event Fluctuations in Ultrarelativistic Heavy-Ion Collisions.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Event-by-Event Fluctuations in Ultrarelativistic Heavy-Ion Collisions

Reference 22

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Bialas and R

Reference 24

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Scaling laws for density correlations and fluctuations in multiparticle dynamics

Reference 25

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Bialas and R

Reference 26

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Observable Properties of Quark-Hadron Phase Transition at the Large Hadron Collider

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Critical Opalescence in Baryonic QCD Matter

Reference 28

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Critical QCD in Nuclear Collisions

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Intermittency of charged particles in the hybrid UrQMD+CMC model at energies available at the BNL Relativistic Heavy Ion Collider

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions NA61/SHINE overview

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Search for a critical point of strongly-interacting matter in central $^{40}$Ar +$^{45}$Sc collisions at 13$A$-75$A$ GeV/$c$ beam momentum

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Abdulhamidet al.(STAR), Energy dependence of intermit- tency for charged hadrons in Au+Au collisions at RHIC, Phys

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Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Performance of the ALICE Experiment at the CERN LHC

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Observation 40d62f7d-4309-4660-83f0-d3f654d51399 · outbound

This paper cites Local multiplicity fluctuations in Pb$-$Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV with ALICE at the LHC.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Local multiplicity fluctuations in Pb$-$Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV with ALICE at the LHC

Reference 36

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Observation 9bd1ac93-1e32-48a4-964d-dc904968c608 · outbound

This paper cites an unresolved cited work.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

Reference 37

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Observation 5bd4e301-53b2-4154-9386-412e0dec7a51 · outbound

This paper cites an unresolved cited work.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

Reference 38

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Observation 45cc3c77-5d33-4736-9c4e-0e1d01162d7c · outbound

This paper cites an unresolved cited work.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

Reference 39

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Observation 4b0a5322-ee74-4606-b022-040de94d1cb2 · outbound

This paper cites an unresolved cited work.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

Reference 40

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 99eb8fcc-0410-4dfd-870d-8d94e63b0e2b · outbound

This paper cites Local Multiplicity Fluctuations as a Signature of Critical Hadronization at LHC.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Local Multiplicity Fluctuations as a Signature of Critical Hadronization at LHC

Reference 41

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source=pdf_text observed=2026-08-12T00:17:28.521105Z digest=sha256:94da9d07eacd6cd447a1fe23c187025100166a82457023b3149f33399e3923e5

Observation aad41e81-2480-40dc-af7b-d4dc5e6ccc5c · outbound

This paper cites Scaling Properties of Multiplicity Fluctuations in the AMPT Model.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Scaling Properties of Multiplicity Fluctuations in the AMPT Model

Reference 42

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source=pdf_text observed=2026-08-12T00:17:28.525138Z digest=sha256:d508d874ab1320c0da06e979430ab8a20c835bb1ee2ffb84f52daa00c6cf851c

Observation 9f34392c-6b1b-4272-ac43-29fa563c7661 · outbound

This paper cites Intermittency study of charged particles generated in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}\text{= 2.76 TeV}$ using EPOS3.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Intermittency study of charged particles generated in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}\text{= 2.76 TeV}$ using EPOS3

Reference 43

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f4013c9f-129f-415f-9d0c-07bc1779a9c4 · outbound

This paper cites an unresolved cited work.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

Reference 44

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 2a9af89a-decd-4a78-ad27-1ec8fc8d09a6 · outbound

This paper cites Color reconnection as a possible mechanism of intermittency in the emission spectra of charged particles in PYTHIA-generated high-multiplicity $\textit{pp}$ collisions at energies available at the CERN Large Hadron Collider.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Color reconnection as a possible mechanism of intermittency in the emission spectra of charged particles in PYTHIA-generated high-multiplicity $\textit{pp}$ collisions at energies available at the CERN Large Hadron Collider

Reference 45

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:17:28.536859Z digest=sha256:3687501fba5aceda739fbb7b449585d40adbb550a9b94145261f056989ac8aaa

Observation e1142705-d0ab-4a94-8b76-7b61d6dd123f · outbound

This paper cites Singh, A.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Singh, A

Reference 46

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 56f38a45-2545-41ea-b9fb-476dd30b9c47 · outbound

This paper cites Normalized factorial moments of spatial distributions of particles in high multiplicity events: A Toy model study.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Normalized factorial moments of spatial distributions of particles in high multiplicity events: A Toy model study

Reference 47

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-08-12T00:17:28.543898Z digest=sha256:aa2a644fdc491f7cc705073ba9f43f0db1a1ba93f552f7b8ea450f99422ae4dd

Observation c8c02f8a-eed2-4fee-806c-dd42278a0988 · outbound

This paper cites Parallel scattering, saturation, and generalized Abramovskii-Gribov-Kancheli (AGK) theorem in the EPOS4 framework, with applications for heavy-ion collisions at $\sqrt{s_{NN}}$ of 5.02 TeV and 200 GeV.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Parallel scattering, saturation, and generalized Abramovskii-Gribov-Kancheli (AGK) theorem in the EPOS4 framework, with applications for heavy-ion collisions at $\sqrt{s_{NN}}$ of 5.02 TeV and 200 GeV

Reference 48

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Observation a3c281a5-d58a-46da-8141-dba3d8af4bce · outbound

This paper cites EPOS4: New theoretical concepts for modeling proton-proton and ion-ion scattering at very high energies.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions EPOS4: New theoretical concepts for modeling proton-proton and ion-ion scattering at very high energies

Reference 49

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Observation 7defcb3f-99a2-496a-bff6-4e16083aff21 · outbound

This paper cites Revealing a deep connection between factorization and saturation: New insight into modeling high-energy proton-proton and nucleus-nucleus scattering in the EPOS4 framework.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Revealing a deep connection between factorization and saturation: New insight into modeling high-energy proton-proton and nucleus-nucleus scattering in the EPOS4 framework

Reference 50

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Observation f5c8cfe3-628a-4975-b44b-509376bdbc25 · outbound

This paper cites Microscopic Models for Ultrarelativistic Heavy Ion Collisions.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Microscopic Models for Ultrarelativistic Heavy Ion Collisions

Reference 51

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Observation 311e1329-4e33-44d2-bbf2-9771d69ad0cd · outbound

This paper cites Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum

Reference 52

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Observation 0677ac59-d059-4e3a-a073-888166bbf0de · outbound

This paper cites Intermittency analysis of proton numbers in heavy-ion collisions at energies available at the BNL Relativistic Heavy Ion Collider.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Intermittency analysis of proton numbers in heavy-ion collisions at energies available at the BNL Relativistic Heavy Ion Collider

Reference 53

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Observation 98aa3d1f-3a0c-4eff-a674-e6f99907fd10 · outbound

This paper cites Performance of the ALICE VZERO system.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Performance of the ALICE VZERO system

Reference 54

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Observation 7e71dfa3-f6e7-4ab0-b61e-bb2cb00c7d64 · outbound

This paper cites an unresolved cited work.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

Reference 55

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unresolved
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 303422a7-d620-4a07-90ad-83eba83b6bb0 · outbound

This paper cites Critical fluctuations of the proton density in A+A collisions at $158A$ GeV.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Critical fluctuations of the proton density in A+A collisions at $158A$ GeV

Reference 56

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Observation b4073f90-39d3-4c25-b19f-9661eae725f5 · outbound

This paper cites Topological data analysis and machine learning.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Topological data analysis and machine learning

Reference 57

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Observation 0e6cb47d-f258-4571-9a77-edbeff772d72 · outbound

This paper cites Applications of Persistent Homology in Nuclear Collisions.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Applications of Persistent Homology in Nuclear Collisions

Reference 58

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source=pdf_text observed=2026-08-12T00:17:28.590265Z digest=sha256:024255d9872136c2467ba6e72f99780de9e466acf48729a2f013ceb0d2ac30fa

Observation a7fb64e0-4c46-4508-8190-90090d5910a8 · outbound

This paper cites Towards a topological data analysis for heavy-ion collisions.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Towards a topological data analysis for heavy-ion collisions

Reference 59

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ddd67e37-84ba-4297-b304-38420aff9e59 · outbound

This paper cites Identifying weak critical fluctuations of intermittency in heavy-ion collisions with topological machine learning.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Identifying weak critical fluctuations of intermittency in heavy-ion collisions with topological machine learning

Reference 60

Resolution
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source=pdf_text observed=2026-08-12T00:17:28.599348Z digest=sha256:c131bef3f4d7b0ffb1ca62ab4a536256bc7817a35cdb0321fecfaebc7005b091

Observation 06578073-7bfe-4b8f-8628-a267f090692c · outbound

This paper cites Limit theorems for persistence diagrams.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Limit theorems for persistence diagrams

Reference 61

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Observation 3d53f1d7-79ae-4706-b9e9-0cc54a37b1e9 · outbound

This paper cites Chen and C.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Chen and C

Reference 62

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:17:28.607859Z digest=sha256:1e66e0ae924ce1dfdab9863d378b379ed4d21c6219657380b399b022633c57aa

Observation 73020c7e-a0f4-4523-909e-2cf1e815c921 · outbound

This paper cites Probing criticality with deep learning in relativistic heavy-ion collisions.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Probing criticality with deep learning in relativistic heavy-ion collisions

Reference 63

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no resolver link, observed 2026-08-12T00:17:28.611354Z

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source=pdf_text observed=2026-08-12T00:17:28.611354Z digest=sha256:c2c542710ed90e038491f21c34dbb172d8925014f885d4f6af7b3d0ce738cc24

Observation f33c7653-b9a2-4f16-b59b-bd2415459f38 · outbound

This paper cites A Unified Approach to Interpreting Model Predictions.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions A Unified Approach to Interpreting Model Predictions

Reference 64

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no resolver link, observed 2026-08-12T00:17:28.615431Z

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source=pdf_text observed=2026-08-12T00:17:28.615431Z digest=sha256:79222870b2de075371d9fb1025182edf5ae31b3317df11458e5557a296ab59ea

Observation 499f5fbf-918d-42ba-880c-5181777cee6b · outbound

This paper cites Lippmann (ALICE), Upgrade of the ALICE Time Projection Chamber, (2014).

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Lippmann (ALICE), Upgrade of the ALICE Time Projection Chamber, (2014)

Reference 65

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:17:28.619074Z digest=sha256:f13b1fb2270cded06e55e4338113d96202c7879d82a6f6e4dc0e160cfbd54f8e

Observation 90776e63-b12f-4153-b428-18fe0b99d0a8 · outbound

This paper cites Bialas and M.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Bialas and M

Reference 66

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:17:28.622489Z digest=sha256:148da1b5a830af5c204e21713088735e14a9614802043bb0b32f1783228a2580

Observation 24ff3722-d17e-4fce-806e-6db4c3f38f92 · outbound

This paper cites Weinberg,The First Three Minutes.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Weinberg,The First Three Minutes

Reference 67

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verified fuzzy
raw_fallback, observed 2026-08-12T00:17:30.061836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 9ed20323-4b97-4cee-a751-65bb647d715e · outbound

This paper cites Wan, C.-Z.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Wan, C.-Z

Reference 68

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-12T00:17:28.631042Z digest=sha256:8b2d24d2a81a7e925177b59246932cb9b1d2d1b9ae478c928caa6ed1b9a557b2

Observation 2e2312f2-8e76-4415-bc4d-43380b196417 · outbound

This paper cites an unresolved cited work.

Topological analysis of scale-invariant spatial fluctuations in ultrarelativistic heavy-ion collisions Unresolved cited work

Reference 69

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unresolved
raw_fallback, observed 2026-08-12T00:17:30.048722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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