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Paper Citation Record · LEDGER

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations

As of 14 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2507.22541.

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

pith.paper-citation-record.v1
2507.22541 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:41:41.798133Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

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  • verified fuzzy19
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a95bd6f2-bf52-4ad0-afae-cb07bf7f5274 · outbound

This paper cites Examples of weak hopf algebras arising from vacant double groupoids.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Examples of weak hopf algebras arising from vacant double groupoids

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.668618Z digest=sha256:39031af306f5f307cab2a2c862c226ebc11b6d20cce6df75b84dde482b7dcc0b

Observation 7d70040d-6073-4f53-aeb9-8871bb818c66 · outbound

This paper cites Bultinck, M.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Bultinck, M

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.674272Z digest=sha256:74d9e89bc256f50bb9d71016d1e46ae8e9d60a27693aac96aafef966ef22910a

Observation 79b1e5c3-baa9-420d-99eb-8c0018bcfadb · outbound

This paper cites Gapped phases in (2+1)d with non-invertible symmetries: Part i, 2024.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Gapped phases in (2+1)d with non-invertible symmetries: Part i, 2024

Reference 3

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raw_fallback, observed 2026-08-06T11:41:42.249409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.679822Z digest=sha256:5901d609d859eabae5b4ca448a9c7329eee42503f5486691c48513cd6a8418b5

Observation ad5a219a-fc19-4fe0-97b1-1787485bc794 · outbound

This paper cites Weak Hopf Algebras II: Representation theory, dimensions and the Markov trace.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Weak Hopf Algebras II: Representation theory, dimensions and the Markov trace

Reference 4

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verified exact
local_arxiv, observed 2026-08-06T11:41:41.930121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.686207Z digest=sha256:12a1a2ee887730747b46e14a256e2312c7421168c71eba1f9085a7c534f14104

Observation 13b86b14-e72d-4760-ab82-a5b193f9c8eb · outbound

This paper cites Gapped phases in (2+1)d with non-invertible symmetries: Part ii, 2025.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Gapped phases in (2+1)d with non-invertible symmetries: Part ii, 2025

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-06T11:41:42.233695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.693174Z digest=sha256:9404f9022a8e4fef2cd66696e75ff11bc26a64ab5de38bb0bdb6ec7349454e58

Observation 325ff63a-a61b-45ad-872b-6b850faf6729 · outbound

This paper cites Drinfeld.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Drinfeld

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.698956Z digest=sha256:e40ac2f07a213430044c503ae0f1227630ef198b36f2cfea2b1a8ed288be5fa2

Observation 0fd2afbc-2931-4a18-a6a9-10de29e78bdd · outbound

This paper cites Higher categorical symmetries and gauging in two-dimensional spin systems.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Higher categorical symmetries and gauging in two-dimensional spin systems

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.705549Z digest=sha256:936113bba97fbf5652e39e2d744ca6037691c318ecb77ef7bada605ed6b33ac4

Observation 78b5ffe2-d18c-4909-9d66-b7e2e2ca9330 · outbound

This paper cites A brief introduction to quantum groups, 2024.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations A brief introduction to quantum groups, 2024

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.712036Z digest=sha256:32bf438a44585116b05145ca536a44b2a8eec31a4b7f2b2ec1c91d7f96bf64e6

Observation 84b11287-5c80-4340-8e56-8b950995e140 · outbound

This paper cites Generalized global symmetries.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Generalized global symmetries

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.719380Z digest=sha256:c0facb0e1abb3a243cd18754c2cfca8d360ce43140dede8d831bc87e31dad495

Observation 2577b69e-d0e0-47ef-928a-72fabb40dd54 · outbound

This paper cites Quantum Groups in Two-Dimensional Physics.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Quantum Groups in Two-Dimensional Physics

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.724198Z digest=sha256:47dd3f7b0667eabf974ff6733a3aa1ef561226cf4e9cc258e50284c7c483b14b

Observation 70a1ff07-8f00-40d3-96ce-62370acfe7c7 · outbound

This paper cites Classifying phases protected by matrix product operator symmetries using matrix product states.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Classifying phases protected by matrix product operator symmetries using matrix product states

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.730136Z digest=sha256:1cadf0435380cd91cdcc71a9353cb4c2c92012d1343b528e07eecbbbde6b59b4

Observation cd121f39-45f7-47d3-9d9c-4583c821a747 · outbound

This paper cites On two-dimensional tensor network group symmetries, 2025.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations On two-dimensional tensor network group symmetries, 2025

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.735543Z digest=sha256:f32a7f9939cb55b47e96b9b057cec04144255602687442338d68241549ac3f79

Observation 7ade7b71-df3c-4b8a-a93b-39bee7aa1511 · outbound

This paper cites (2+1)d lattice models and tensor networks for gapped phases with categorical symmetry, 2025.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations (2+1)d lattice models and tensor networks for gapped phases with categorical symmetry, 2025

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.740073Z digest=sha256:d8fb5fb3dde816026e992a6a05a87e6f2df79f898ddcd3a2379970e27ba42fb1

Observation a9f04678-7ff3-4040-8609-afff3326150f · outbound

This paper cites Fusion surface models: 2+1d lattice models from fusion 2-categories.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Fusion surface models: 2+1d lattice models from fusion 2-categories

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.744609Z digest=sha256:10a43cb2d372e307d8583fcd8d1eb2374283bc3374df3d0130779cb0311b4d63

Observation b77351c0-c236-40d5-8625-e913a30172fb · outbound

This paper cites Ignacio Cirac, and David Pérez-García.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Ignacio Cirac, and David Pérez-García

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.749574Z digest=sha256:c7e46af25c3e6159d1ccbc268411e9f98b134839a679f47e39df00e311b49552

Observation c3801142-46a5-4818-9107-de91700403b9 · outbound

This paper cites Yang-baxter equation, bethe ansatz, yangian, lax pairs, toda and calogero-moser systems.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Yang-baxter equation, bethe ansatz, yangian, lax pairs, toda and calogero-moser systems

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.755125Z digest=sha256:512ffda9170a8eb773d5e2be1b4da46b6e1b2223ae6b74ced8f6f95c9b691719

Observation c2643a31-cba4-4862-b132-8c008b1864ce · outbound

This paper cites A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States

Reference 17

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no resolver link, observed 2026-08-06T11:41:41.762434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T11:41:41.762434Z digest=sha256:e64d1ce61e6775fab15f2cd8d674612026499a4659eb7fd3a4a666b88cb34c06

Observation 707066ed-f74e-40e8-ad91-9834983f381f · outbound

This paper cites Solving the yang-baxter, tetrahedron and higher simplex equations using clifford algebras.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Solving the yang-baxter, tetrahedron and higher simplex equations using clifford algebras

Reference 18

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.768906Z digest=sha256:897cb9420f32d9f6dcea95f46af6177478adc7d3eb4a1e58c9cc72243452fd16

Observation d4a92d71-806a-4839-b503-15b6520da2f7 · outbound

This paper cites Pasquier and H.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Pasquier and H

Reference 19

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.773406Z digest=sha256:63f8c5d59bd8c6dfef9c3f805bced9f7234d49cfdeb207253f608c069ce0c399

Observation 5cb4b3fa-8a14-4bb0-9d63-eff0f53af450 · outbound

This paper cites Symmetry-protected topological phases beyond groups: The q -deformed affleck-kennedy-lieb-tasaki model.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Symmetry-protected topological phases beyond groups: The q -deformed affleck-kennedy-lieb-tasaki model

Reference 20

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.778793Z digest=sha256:65ebf664a51ef85a6717c1be19ad2e0f528c3017e8756e76965f3fe1bcdab767

Observation 58dcefe7-e86b-4373-90fe-cd675f32286d · outbound

This paper cites Td1: Exact diagonalization of the s = 1/2 xxz spin chain.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Td1: Exact diagonalization of the s = 1/2 xxz spin chain

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.783741Z digest=sha256:6176e69c11b6d3a3235f292f84fbe8a5f83f307977926427b5bf1b1dec9ca1c1

Observation bbcc5dea-8d4a-4e90-9fd7-b5002dd40eba · outbound

This paper cites Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases

Reference 22

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unresolved
no resolver link, observed 2026-08-06T11:41:41.788675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T11:41:41.788675Z digest=sha256:8d589d199f2b9a81530048f065e15d40a0dd67febe2105a3b1331d1bff7f9661

Observation 51c61d82-104b-4ab1-be3c-23d332df662f · outbound

This paper cites an unresolved cited work.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.793316Z digest=sha256:a64460282995be7c44660947cd27bf332ba90d1d65b4ec30524cbdf461208c7c

Observation 3b9e6588-63cb-44b6-a8c9-daa6ea573a67 · outbound

This paper cites Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions

Reference 24

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no resolver link, observed 2026-08-06T11:41:41.798133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T11:41:41.798133Z digest=sha256:149c591a73d2d1631a8877821f769fc67e38def788f845733aba8ca4d07a6e1e

Pith citing papers

No inbound Pith citation observations are available.