Paper Citation Record · LEDGER

String-net condensation: A physical mechanism for topological phases

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 32 inbound Pith citation observations for arXiv:cond-mat/0404617.

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

pith.paper-citation-record.v1
cond-mat/0404617 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 32 of 32 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:51:37.616069Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T18:25:25.797429Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation df013348-70dd-4c9e-8c8b-a357f5729a1b · inbound

Hidden order in dielectrics: string condensation, solitons, and the charge-vortex duality cites this paper.

Hidden order in dielectrics: string condensation, solitons, and the charge-vortex duality String-net condensation: A physical mechanism for topological phases

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-05-24T02:28:46.009824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 83b69760-45d6-4d8a-a3de-94c8f96a1289 · inbound

Quantum Cellular Automata on Symmetric Subalgebras cites this paper.

Quantum Cellular Automata on Symmetric Subalgebras String-net condensation: A physical mechanism for topological phases

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-12T10:24:33.857303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79ead367-1e6f-4ae7-85d5-885eb97da99e · inbound

Tube Category, Tensor Renormalization and Topological Holography cites this paper.

Tube Category, Tensor Renormalization and Topological Holography String-net condensation: A physical mechanism for topological phases

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T19:09:11.768786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcd0f8f7-68b9-4ab3-b3af-7a422abcbad5 · inbound

QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow cites this paper.

QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow String-net condensation: A physical mechanism for topological phases

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T14:24:38.097955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 899a9238-f98e-4ddc-ad59-9cfe4bdb7474 · inbound

Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories cites this paper.

Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories String-net condensation: A physical mechanism for topological phases

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-10T13:38:16.941962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f892909-1701-4f31-bcdd-878ba870b13c · inbound

Discrete quantum systems from topological field theory cites this paper.

Discrete quantum systems from topological field theory String-net condensation: A physical mechanism for topological phases

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T10:37:41.785171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e2f58b9-e232-4c46-b0c2-0483ee01a578 · inbound

A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT cites this paper.

A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT String-net condensation: A physical mechanism for topological phases

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T10:28:35.216919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7439112-0ccb-45e0-8939-3f7e2742d760 · inbound

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders cites this paper.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders String-net condensation: A physical mechanism for topological phases

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:10.144662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2484c21d-566b-41fb-acbc-37c5adc9a026 · inbound

Systematic Construction of Kramers-Wannier-like Dualities in Quantum Lattice Models from Integrability cites this paper.

Systematic Construction of Kramers-Wannier-like Dualities in Quantum Lattice Models from Integrability String-net condensation: A physical mechanism for topological phases

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T12:17:14.796220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e550a5ed-9a9e-4c85-a082-8df0b2aa1e7b · inbound

Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition cites this paper.

Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition String-net condensation: A physical mechanism for topological phases

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-05-21T17:25:25.466791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d9e72ff6-7d9d-4089-b2b3-ca528aa3d933 · inbound

Les Houches Lecture Notes on Tensor Networks cites this paper.

Les Houches Lecture Notes on Tensor Networks String-net condensation: A physical mechanism for topological phases

Reference 133

Resolution: unresolved; no resolver link, observed 2026-08-03T13:35:46.532021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 640f8777-fa82-40d1-9db8-407bdcbfec6a · inbound

From Multipartite Entanglement to TQFT cites this paper.

From Multipartite Entanglement to TQFT String-net condensation: A physical mechanism for topological phases

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T22:32:07.557220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c6a1e6b-2f1c-4783-8276-5ee015f4f41a · inbound

dS$^4$ Metamorphosis cites this paper.

dS$^4$ Metamorphosis String-net condensation: A physical mechanism for topological phases

Reference 88

Resolution: verified exact; local_arxiv, observed 2026-05-15T20:26:36.069534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d20fa280-a66c-4c36-8cba-56f54026cd87 · inbound

Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models cites this paper.

Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models String-net condensation: A physical mechanism for topological phases

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-11T12:41:03.808815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7c1b95ff-8ad4-4b69-9886-14029ade7a12 · inbound

Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models cites this paper.

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-02T15:57:24.111628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e577b28-d5ca-4d86-a401-d9640a610014 · inbound

Constructing Bulk Topological Orders via Layered Gauging cites this paper.

Constructing Bulk Topological Orders via Layered Gauging String-net condensation: A physical mechanism for topological phases

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-12T09:36:26.720073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 544d6310-9057-4dd7-8e98-bacef037b539 · inbound

Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping cites this paper.

Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping String-net condensation: A physical mechanism for topological phases

Reference 88

Resolution: verified exact; arxiv_id, observed 2026-05-12T10:41:31.343871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bce94b41-28f9-4fca-9da0-eb3e4739611f · inbound

Lower overhead fault-tolerant building blocks for noisy quantum computers cites this paper.

Lower overhead fault-tolerant building blocks for noisy quantum computers String-net condensation: A physical mechanism for topological phases

Reference 259

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T04:42:16.295408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9491b31d-0e14-4ae5-82f3-06ea013ffa25 · inbound

Gauging Time Reversal Symmetry in Quantum Gravity: Arrow of Time from a Confinement--Deconfinement Transition cites this paper.

Gauging Time Reversal Symmetry in Quantum Gravity: Arrow of Time from a Confinement--Deconfinement Transition String-net condensation: A physical mechanism for topological phases

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-05-21T01:13:54.437941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a6b5ce5d-e8bc-46de-9162-e54bdf02b716 · inbound

Topological lattice gauge theory enriched by non-invertible symmetry cites this paper.

Topological lattice gauge theory enriched by non-invertible symmetry String-net condensation: A physical mechanism for topological phases

Reference 64

Resolution: verified exact; local_arxiv, observed 2026-06-29T10:03:16.861893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a76cf2f1-e4dc-487d-a9de-1857574f8d9b · inbound

Non-invertible symmetry enriched string net topological orders cites this paper.

Non-invertible symmetry enriched string net topological orders String-net condensation: A physical mechanism for topological phases

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-06-29T09:53:16.985340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b1fedb81-cb7f-46eb-b23b-f973cc25a1f5 · inbound

$E_\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking cites this paper.

$E_\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking String-net condensation: A physical mechanism for topological phases

Reference 67

Resolution: verified exact; local_arxiv, observed 2026-07-02T15:47:06.575998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6116a413-97d1-4053-bce3-f4552dd34cbb · inbound

Microscopic universal theory of symmetry-enriched topological quantum spin liquids cites this paper.

Microscopic universal theory of symmetry-enriched topological quantum spin liquids String-net condensation: A physical mechanism for topological phases

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-02T23:27:27.295044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4f7304f6-894e-40de-92cd-df8ba0291eec · inbound

ASEP/DSSYK duality and strange correlator cites this paper.

ASEP/DSSYK duality and strange correlator String-net condensation: A physical mechanism for topological phases

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-04T01:39:24.868160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d8bcf377-b3ed-4ee2-ba58-b20d2404ff39 · inbound

Operational Tube-Sector Theory of Quantum State Distinguishability Under Generalized Symmetries cites this paper.

Operational Tube-Sector Theory of Quantum State Distinguishability Under Generalized Symmetries String-net condensation: A physical mechanism for topological phases

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-07-04T04:39:35.212037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3537aff9-fcf8-4607-8d73-daf62bffc8cd · inbound

Genuine Multi-Entropy in the Toric Code cites this paper.

Genuine Multi-Entropy in the Toric Code String-net condensation: A physical mechanism for topological phases

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-07-08T18:25:25.798701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fc5042bc-c878-4f79-a4fd-fad7cd336810 · inbound

A diagrammatic field theory of quantum error correction cites this paper.

A diagrammatic field theory of quantum error correction String-net condensation: A physical mechanism for topological phases

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-13T05:52:48.575522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83c02788-5463-4657-9812-9b48786e8f89 · inbound

Reconstructing non-Abelian braiding and fusion without anyon transport cites this paper.

Reconstructing non-Abelian braiding and fusion without anyon transport String-net condensation: A physical mechanism for topological phases

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T14:51:37.616069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70eee1e1-15a8-4a65-b7dc-c32a97146420 · inbound

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order cites this paper.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order String-net condensation: A physical mechanism for topological phases

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-06T06:08:09.434154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2458c939-741a-444c-8573-23163eb111e2 · inbound

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions cites this paper.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions String-net condensation: A physical mechanism for topological phases

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-08T15:59:32.806743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1da0bbe-a81b-4587-9dbe-b41400aaaeb0 · inbound

Quantum Information Flow under String-Diagram Rewriting cites this paper.

Quantum Information Flow under String-Diagram Rewriting String-net condensation: A physical mechanism for topological phases

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-11T06:01:34.791300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f7e3e61-bde5-4c8f-a9ec-ff070a655a6d · inbound

Orthonormal bases for higher Hilbert spaces cites this paper.

Orthonormal bases for higher Hilbert spaces String-net condensation: A physical mechanism for topological phases

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T14:21:46.595484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.