Paper Citation Record · LEDGER

How negative can null energy be in large N CFTs?

As of 13 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2412.10618.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.10618 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:52:23.739437Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T08:50:14.883336Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-20T08:53:10.229919Z

Reference resolution

43 of 43 outbound references displayed

verified exact6
verified fuzzy4
unresolved33
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff2aca98-6217-423c-bb0b-16eb4eaeb937 · outbound

This paper cites 35 with Iab(x) = δab − 2 xaxb x2 the inversion operator.

How negative can null energy be in large N CFTs? 35 with Iab(x) = δab − 2 xaxb x2 the inversion operator

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:52:24.439956Z

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.

Observation f98e2287-a5bd-4d56-b2c4-ce336a08c819 · outbound

This paper cites an unresolved cited work.

How negative can null energy be in large N CFTs? Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:52:24.424100Z

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

Observation 649a8481-89ba-4f08-84c9-961b32cfbf76 · outbound

This paper cites an unresolved cited work.

How negative can null energy be in large N CFTs? Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:52:24.408920Z

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.

Observation 08a680de-b826-41b7-8751-ed8b4dbdafc4 · outbound

This paper cites amaxY a=1 ⟨(Oh)a†(Oh)a⟩ma conn (a!)2mama! # = (p!)2⟨O† hOh⟩p ×.

How negative can null energy be in large N CFTs? amaxY a=1 ⟨(Oh)a†(Oh)a⟩ma conn (a!)2mama! # = (p!)2⟨O† hOh⟩p ×

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:52:24.394195Z

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.

Observation 5795d3fc-4199-41da-bf48-88b33e4e02f2 · outbound

This paper cites We are interested in the large p, small |x| asymptotics of this object as p ∼ N α and xa ∼ N 2−2a in the large N limit.

How negative can null energy be in large N CFTs? We are interested in the large p, small |x| asymptotics of this object as p ∼ N α and xa ∼ N 2−2a in the large N limit

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:52:24.379029Z

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.

Observation a92cf1c7-b571-431b-b80f-c6b9b0751341 · outbound

This paper cites Nonpositivity of energy density in Quantized field theories,.

How negative can null energy be in large N CFTs? Nonpositivity of energy density in Quantized field theories,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:52:24.363826Z

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.

Observation e15f1aa5-6c83-4334-883d-c2d2dfe7d21f · outbound

This paper cites Null energy conditions in quantum field theory.

How negative can null energy be in large N CFTs? Null energy conditions in quantum field theory

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.571132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7e2c4e2-5d20-4b86-9f30-ca059808406a · outbound

This paper cites The double smeared null energy condition.

How negative can null energy be in large N CFTs? The double smeared null energy condition

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.575750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d38e6a5-3e0d-4053-bf09-ba8f6e8621a9 · outbound

This paper cites Quantum Energy Inequalities for the Non-Minimally Coupled Scalar Field.

How negative can null energy be in large N CFTs? Quantum Energy Inequalities for the Non-Minimally Coupled Scalar Field

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.580065Z

Source-reported events for the cited work

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Observation 1c490736-051e-4e2c-82e2-4de93fa0fb80 · outbound

This paper cites Quantum strong energy inequalities.

How negative can null energy be in large N CFTs? Quantum strong energy inequalities

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.585214Z

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Unavailable: canonical work link unavailable.

Observation 5546fbc8-5e3e-4b3b-b9f3-2e257e4da41a · outbound

This paper cites Quantum Energy Inequality for the Massive Ising Model.

How negative can null energy be in large N CFTs? Quantum Energy Inequality for the Massive Ising Model

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:52:24.290310Z

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.

Observation 3b0a8376-f3c4-4ee9-aa49-6d9fe98f7c43 · outbound

This paper cites Quantum energy inequalities in integrable models with several particle species and bound states.

How negative can null energy be in large N CFTs? Quantum energy inequalities in integrable models with several particle species and bound states

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:52:24.269307Z

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.

Observation f9832370-5f22-4b39-80ae-33d18b592751 · outbound

This paper cites Quantum Energy Inequalities in two-dimensional conformal field theory.

How negative can null energy be in large N CFTs? Quantum Energy Inequalities in two-dimensional conformal field theory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.600140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81ae640a-9180-4038-b374-f2a0768ffb65 · outbound

This paper cites The Smeared Null Energy Condition.

How negative can null energy be in large N CFTs? The Smeared Null Energy Condition

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.604651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc6da48c-af3b-4a83-b3d2-6f8a8e1ab028 · outbound

This paper cites Implications of Conformal Invariance in Field Theories for General Dimensions.

How negative can null energy be in large N CFTs? Implications of Conformal Invariance in Field Theories for General Dimensions

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.609173Z

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Unavailable: canonical work link unavailable.

Observation ab598c5d-99ad-4c0c-8425-40fea7ecf117 · outbound

This paper cites Multiple-Trace Operators and Non-Local String Theories.

How negative can null energy be in large N CFTs? Multiple-Trace Operators and Non-Local String Theories

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.613986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 264966de-bd75-41b7-b45e-2df2305c5022 · outbound

This paper cites Emergent Spacetime and Holographic CFTs.

How negative can null energy be in large N CFTs? Emergent Spacetime and Holographic CFTs

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.618694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 960c92c0-8f80-4640-9636-2655894ee1f0 · outbound

This paper cites Generalized free fields and the AdS-CFT correspondence.

How negative can null energy be in large N CFTs? Generalized free fields and the AdS-CFT correspondence

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.623776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5eb9e69b-aac6-4b19-9dbb-5101767fc0d8 · outbound

This paper cites Holography from Conformal Field Theory.

How negative can null energy be in large N CFTs? Holography from Conformal Field Theory

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.628399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90e9f578-ad5f-4177-aa96-ccc90ce221e3 · outbound

This paper cites Conformal field theories dual to quantum gravity with strongly coupled matter.

How negative can null energy be in large N CFTs? Conformal field theories dual to quantum gravity with strongly coupled matter

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.633082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c7275e2-e4a8-4f12-a772-7ef70ae2a436 · outbound

This paper cites Positive Energy Conditions in 4D Conformal Field Theory.

How negative can null energy be in large N CFTs? Positive Energy Conditions in 4D Conformal Field Theory

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:52:24.130623Z

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.

Observation 5236e8f1-76f9-440e-a8bc-7b3de1d1b139 · outbound

This paper cites Non-minimal coupling, negative null energy, and effective field theory.

How negative can null energy be in large N CFTs? Non-minimal coupling, negative null energy, and effective field theory

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.642008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec665e87-d423-4521-8389-9fd2b8019720 · outbound

This paper cites Causality Constraints in Conformal Field Theory.

How negative can null energy be in large N CFTs? Causality Constraints in Conformal Field Theory

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.647015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9dc81df-53c6-4cb3-8288-f9d8946a7047 · outbound

This paper cites Averaged Null Energy Condition from Causality.

How negative can null energy be in large N CFTs? Averaged Null Energy Condition from Causality

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.651050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4daad678-31c3-4c9a-93b2-39b2e2eb35c2 · outbound

This paper cites Einstein gravity from ANEC correlators.

How negative can null energy be in large N CFTs? Einstein gravity from ANEC correlators

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:52:24.065944Z

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.

Observation 889bd34d-f3bc-44f8-a2b7-53c6c86ce942 · outbound

This paper cites Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition.

How negative can null energy be in large N CFTs? Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.660532Z

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Unavailable: canonical work link unavailable.

Observation 456bfef9-93e6-42b8-864c-26c78a149fdd · outbound

This paper cites EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions.

How negative can null energy be in large N CFTs? EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.665066Z

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Unavailable: canonical work link unavailable.

Observation 1d15a106-18f6-4858-a106-bb2741e5d81f · outbound

This paper cites Holographic GB gravity in arbitrary dimensions.

How negative can null energy be in large N CFTs? Holographic GB gravity in arbitrary dimensions

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.670614Z

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Unavailable: canonical work link unavailable.

Observation 0e949d2f-15b5-4449-a03b-515f01707ab8 · outbound

This paper cites A Proof of the Conformal Collider Bounds.

How negative can null energy be in large N CFTs? A Proof of the Conformal Collider Bounds

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.675540Z

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Observation 2cd4c1ac-c6e4-407b-a2e3-d727585c29ac · outbound

This paper cites Conformal collider physics: Energy and charge correlations.

How negative can null energy be in large N CFTs? Conformal collider physics: Energy and charge correlations

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.680359Z

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Unavailable: canonical work link unavailable.

Observation e180a938-6bc2-434b-9a44-cb343141efac · outbound

This paper cites Modified Weak Energy Condition for the Energy Momentum Tensor in Quantum Field Theory.

How negative can null energy be in large N CFTs? Modified Weak Energy Condition for the Energy Momentum Tensor in Quantum Field Theory

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:52:23.967935Z

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.

Observation cfe37574-4d2a-4c33-b41f-3fa601b044cd · outbound

This paper cites TASI Lectures on the Conformal Bootstrap.

How negative can null energy be in large N CFTs? TASI Lectures on the Conformal Bootstrap

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.689700Z

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Unavailable: canonical work link unavailable.

Observation 7712f97c-266c-4536-a117-2f97e6e79938 · outbound

This paper cites Proof of the Quantum Null Energy Condition.

How negative can null energy be in large N CFTs? Proof of the Quantum Null Energy Condition

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.694202Z

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Unavailable: canonical work link unavailable.

Observation 6992dd34-05d1-49b4-b584-52f47957e568 · outbound

This paper cites A General Proof of the Quantum Null Energy Condition.

How negative can null energy be in large N CFTs? A General Proof of the Quantum Null Energy Condition

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.699159Z

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Unavailable: canonical work link unavailable.

Observation 3bcbf666-3399-433b-8167-c2ee4d8353d8 · outbound

This paper cites A Quantum Focussing Conjecture.

How negative can null energy be in large N CFTs? A Quantum Focussing Conjecture

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.703969Z

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Unavailable: canonical work link unavailable.

Observation a1f4e70f-b234-478d-a70c-49d761f76231 · outbound

This paper cites Energy is Entanglement.

How negative can null energy be in large N CFTs? Energy is Entanglement

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.708557Z

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Unavailable: canonical work link unavailable.

Observation c122b53d-7c35-461f-bf8d-457970a788af · outbound

This paper cites Entropy Variations and Light Ray Operators from Replica Defects.

How negative can null energy be in large N CFTs? Entropy Variations and Light Ray Operators from Replica Defects

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.713029Z

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Unavailable: canonical work link unavailable.

Observation 215defc8-376f-4e9c-bf47-cac9a8fd91a6 · outbound

This paper cites Singularities From Entropy.

How negative can null energy be in large N CFTs? Singularities From Entropy

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.717726Z

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Unavailable: canonical work link unavailable.

Observation dbcdbd1f-5c6c-49bb-a4f7-4d2fce1a366e · outbound

This paper cites Quantum Singularities.

How negative can null energy be in large N CFTs? Quantum Singularities

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.722259Z

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Unavailable: canonical work link unavailable.

Observation b4767a52-1a9b-472d-be28-5da4199594be · outbound

This paper cites The Return of the Singularities: Applications of the Smeared Null Energy Condition.

How negative can null energy be in large N CFTs? The Return of the Singularities: Applications of the Smeared Null Energy Condition

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.726632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88aaf202-6f26-4127-8a55-7ba729106239 · outbound

This paper cites Upper and Lower Bounds on the Integrated Null Energy in Gravity.

How negative can null energy be in large N CFTs? Upper and Lower Bounds on the Integrated Null Energy in Gravity

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.730837Z

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Unavailable: canonical work link unavailable.

Observation b5e11ee2-891b-4779-ba5b-ef900b292a65 · outbound

This paper cites Conserved Currents and the Energy Momentum Tensor in Conformally Invariant Theories for General Dimensions.

How negative can null energy be in large N CFTs? Conserved Currents and the Energy Momentum Tensor in Conformally Invariant Theories for General Dimensions

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-11T15:52:23.735206Z

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Unavailable: canonical work link unavailable.

Observation 2b1771dc-4834-4cfb-978a-56ef8a14f047 · outbound

This paper cites A New Spin on Causality Constraints.

How negative can null energy be in large N CFTs? A New Spin on Causality Constraints

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:52:23.780583Z

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.

Pith citing papers

Observation be2f8277-b256-435f-b922-b30e81e955cc · inbound

Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory cites this paper.

Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory How negative can null energy be in large N CFTs?

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-18T03:32:21.659955Z

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.

Observation b505170f-ada2-4295-b5e0-e2a7d7743113 · inbound

Modave lectures on energy conditions in quantum field theory and semi-classical gravity cites this paper.

Modave lectures on energy conditions in quantum field theory and semi-classical gravity How negative can null energy be in large N CFTs?

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:53:10.231629Z

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.