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Paper Citation Record · LEDGER

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models

As of 9 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2601.21207.

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

pith.paper-citation-record.v1
2601.21207 v4

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T07:10:44.114728Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T17:00:10.690186Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T00:47:30.744720Z

Reference resolution

39 of 39 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved39
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4e59ba50-bf3d-4719-a646-a72fcd5a0da7 · outbound

This paper cites , " * write output.state after.block = add.period write newline.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models , " * write output.state after.block = add.period write newline

Reference 1

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no resolver link, observed 2026-08-03T07:10:44.005913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T07:10:44.005913Z digest=sha256:7b4552bdd687839ef9e9ef7ffb56d6c84dd7bb12b9daa9fb3a559653d3f4af55

Observation 37fdbb02-586e-495a-982c-5522e6d09c13 · outbound

This paper cites write newline.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models write newline

Reference 2

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no resolver link, observed 2026-08-03T07:10:44.009384Z

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source=arxiv_source observed=2026-08-03T07:10:44.009384Z digest=sha256:c4b512e9f661028eb750608b83d202a874a46f448742d007efae6b0f769cd6ba

Observation 45cb05c4-8b7a-43d6-a848-591ca8d186e4 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 3

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source=arxiv_source observed=2026-08-03T07:10:44.012532Z digest=sha256:6d3892650fb8367616354228b24337afe1331f4b2021c92b872fa066c2a4a746

Observation 92230f32-c01b-4709-8e9a-0efbe61d860d · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 4

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source=arxiv_source observed=2026-08-03T07:10:44.015891Z digest=sha256:bcbce78b668f6630c524ba96ec94fc05541ca23fe45ba5d7f56a24c593f355f8

Observation f5f89ef7-29f0-4bfe-9265-8c64ea5cb55c · outbound

This paper cites S.; and Lio, P.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models S.; and Lio, P

Reference 5

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source=arxiv_source observed=2026-08-03T07:10:44.019097Z digest=sha256:efb5e25fc51064a271835de1db572345044f637de0d26d51e0fd4c66f4c45cb1

Observation b8d28036-d1dc-4e01-840e-16848f6796f1 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 6

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no resolver link, observed 2026-08-03T07:10:44.022341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T07:10:44.022341Z digest=sha256:7ac8817fce810cc7e1dce576a624c7f28bf32a94436a529f276ba6b21b6cadc6

Observation 6c355671-8463-4919-8fdf-67d4279c3695 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 7

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source=arxiv_source observed=2026-08-03T07:10:44.025557Z digest=sha256:5d99115bd5f22cb01507b654f8d26611a81e226bf5e6cb02191f8803d5e16649

Observation a2e826d2-0087-4728-815a-58420d349ea5 · outbound

This paper cites F.; Li \'o , P.; and Bronstein, M.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models F.; Li \'o , P.; and Bronstein, M

Reference 8

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source=arxiv_source observed=2026-08-03T07:10:44.028592Z digest=sha256:356da275b83ff6b6db0a10752f9e390c9272949f20e1b18ff15c6186f0cc91a1

Observation c1fed10a-e146-4360-bdcb-92fc03606e0f · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 9

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source=arxiv_source observed=2026-08-03T07:10:44.031986Z digest=sha256:ca8b845ba4bc0157aa71da5367e8992fd0b1d7a734afe21166d641ba1ea8d0fc

Observation 8cf7c45a-1662-4f62-90c4-fc73c701b448 · outbound

This paper cites M.; Bruna, J.; LeCun, Y.; Szlam, A.; and Vandergheynst, P.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models M.; Bruna, J.; LeCun, Y.; Szlam, A.; and Vandergheynst, P

Reference 10

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source=arxiv_source observed=2026-08-03T07:10:44.034739Z digest=sha256:ba628d2acae7c8fe5a4ea1022a6859d6479ce078b3c24f42c85c1201522d0b87

Observation cbcef78d-9b29-4adc-9644-2cf5ff2c0ec5 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 11

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no resolver link, observed 2026-08-03T07:10:44.037423Z

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source=arxiv_source observed=2026-08-03T07:10:44.037423Z digest=sha256:75241696281d3811250ac3fd8f91999825a24271934f53f4616a81634aa5dd2f

Observation 640c07ea-d4e7-4343-bf94-1aa5a253c845 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 12

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source=arxiv_source observed=2026-08-03T07:10:44.040232Z digest=sha256:2990ec4939ac1a0fb3f2d45e4642ebb3a0e26e568f23e03ce0a08184edeff976

Observation 43b015a4-d317-4755-87a2-701216134ebe · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 13

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T07:10:44.043018Z digest=sha256:af666c7ddf694b46626ab0c1ba044603e6950ee4b48c69f1324c5f8cc2e61964

Observation 6699f890-3c9a-4aa6-b023-daaafcfff0e7 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 14

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T07:10:44.045597Z digest=sha256:b9267293addfa8ca2bd923c59224fe6d4c7af05be40f368500749488fe05f94c

Observation 9605a001-629d-4d36-bb8e-6ad6375f7ff4 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 15

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no resolver link, observed 2026-08-03T07:10:44.048354Z

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source=arxiv_source observed=2026-08-03T07:10:44.048354Z digest=sha256:e1bf3c5c341f8c7ec26c24d724d662720f5c16bdf54fdad7c390fb20b49ae38e

Observation c78c5e75-669b-4162-80d0-e84033bde0b6 · outbound

This paper cites Unified Origami Kinematics via Cosheaf Homology.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unified Origami Kinematics via Cosheaf Homology

Reference 16

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source=arxiv_source observed=2026-08-03T07:10:44.050841Z digest=sha256:481db5313bf078af17d97186b6767d8d61cef93b13d7380bfd901ee68c44f708

Observation 53c25126-5099-4c6e-a808-13893a5f9202 · outbound

This paper cites A Cosheaf Theory of Reciprocal Figures: Planar and Higher Genus Graphic Statics.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models A Cosheaf Theory of Reciprocal Figures: Planar and Higher Genus Graphic Statics

Reference 17

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no resolver link, observed 2026-08-03T07:10:44.053647Z

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source=arxiv_source observed=2026-08-03T07:10:44.053647Z digest=sha256:e6c0073896312790ac36699c1be3fb227c9540cf0d734f20ea0bfba5f75dc043

Observation 444e15da-9b41-4f33-ad53-826292e17ade · outbound

This paper cites Equivariant Cosheaves and Finite Group Representations in Graphic Statics.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Equivariant Cosheaves and Finite Group Representations in Graphic Statics

Reference 18

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source=arxiv_source observed=2026-08-03T07:10:44.056458Z digest=sha256:3d8d6fe46fc9b92543c21f12e04fa908032c96eec051b59a8b0bf739c069a357

Observation 27c956f1-9386-4c7e-938d-9314ec6650d6 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 19

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no resolver link, observed 2026-08-03T07:10:44.059559Z

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source=arxiv_source observed=2026-08-03T07:10:44.059559Z digest=sha256:bf2bb322f79b10cafa77e329266cc0e2f28a9d8b2b930c638f265de306b5b460

Observation e35b217b-bfc3-4b06-970d-2e0514dc3cc4 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 20

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source=arxiv_source observed=2026-08-03T07:10:44.062926Z digest=sha256:b86dc701389fb365df58bc7da1fa9e8e2320a8a8c63acf094b97c3ae4a5c40ef

Observation 95d4f74f-3e29-4e0f-8b04-12e9c4762280 · outbound

This paper cites K.; Maclaurin, D.; Iparraguirre, J.; Bombarell, R.; Hirzel, T.; Aspuru-Guzik, A.; and Adams, R.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models K.; Maclaurin, D.; Iparraguirre, J.; Bombarell, R.; Hirzel, T.; Aspuru-Guzik, A.; and Adams, R

Reference 21

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source=arxiv_source observed=2026-08-03T07:10:44.066088Z digest=sha256:462306ef73241989ca60d7dede6426f070256e41b2e74ddc0e38d1f42a0cc994

Observation a7e5d5c3-14e7-40e3-8bcc-beb6da4589b7 · outbound

This paper cites Simplicial Neural Networks.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Simplicial Neural Networks

Reference 22

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source=arxiv_source observed=2026-08-03T07:10:44.068386Z digest=sha256:ae63a67cc399c36cda4797aac746eb5f6ab7e05c963bae58fe6f5333533e7611

Observation a2539669-651f-4e6f-b5fc-492bb751d577 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 23

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source=arxiv_source observed=2026-08-03T07:10:44.071163Z digest=sha256:ee9dfe04e367ebac82a6b642aea1183307cfd34f01824af8ec8943561727c231

Observation 5e7c156a-1d7a-4888-8c94-1aec4a32578f · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 24

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source=arxiv_source observed=2026-08-03T07:10:44.073861Z digest=sha256:7a89c67f895ee691f2ad2315d2c00c05ab291d72be0b5067bcb7a306141233cb

Observation 54decef8-4d5e-4546-b3e1-3c92d1bfa6df · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 25

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source=arxiv_source observed=2026-08-03T07:10:44.076256Z digest=sha256:52b2aa89ea209a74adfae6683086d35444d786da1628991d8d70179a569e30e7

Observation 905d1cb3-1482-485c-9259-6795f1e697e3 · outbound

This paper cites Topological Deep Learning: Going Beyond Graph Data.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Topological Deep Learning: Going Beyond Graph Data

Reference 26

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source=arxiv_source observed=2026-08-03T07:10:44.078881Z digest=sha256:5c3dd942252e0f8395340152cce4b275a51ac46c531e5cb66b105cb368ae9483

Observation 727461f5-53fe-4cfe-bab6-68518f2c1871 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 27

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source=arxiv_source observed=2026-08-03T07:10:44.081959Z digest=sha256:3b3e6bd28cfaae38102b16252ce90a8af8e6b2fc030c109fe8c7228372d4481a

Observation 2767fa2a-2b6f-4e2f-a534-6bd8f32e2046 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 28

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source=arxiv_source observed=2026-08-03T07:10:44.086074Z digest=sha256:795b07dac2a023263f8cc691d77d419e26f8e966f0daa4981c064fe45f5f2f1e

Observation 925ba734-ad9e-4246-afac-8a0880a539dc · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 29

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source=arxiv_source observed=2026-08-03T07:10:44.088868Z digest=sha256:42bc91a9c27660f654f0fd805ce7474363cb67598d0e3c8886b76731630aa071

Observation 435f8bc9-37d6-43bd-919b-8be4b16943bf · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 30

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no resolver link, observed 2026-08-03T07:10:44.091552Z

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source=arxiv_source observed=2026-08-03T07:10:44.091552Z digest=sha256:169be0cde7065c05bad4e633d037bf5a7b1c2b8d1b921e72bf973fe1f57a89e6

Observation 9ab5cd4d-4cc7-45d0-9054-1470be347adb · outbound

This paper cites N.; and Welling, M.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models N.; and Welling, M

Reference 31

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source=arxiv_source observed=2026-08-03T07:10:44.094255Z digest=sha256:27afe04988a66014b7e79421feb47fe89984d6ee8af36dfe15058ff5a20cf6af

Observation 59957256-6b45-4907-b182-d0d4846a9d6a · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 32

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source=arxiv_source observed=2026-08-03T07:10:44.096714Z digest=sha256:ad0f4e1c966608db9c8042659c7070ea3a87386220655f1d11886b70509f652d

Observation 7b303a1f-7a47-4f59-9379-f9ee29360d75 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 33

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T07:10:44.099261Z digest=sha256:abe3936c208282c6989415d139290e783facf36c9eb58d9cc0e81d02de70d57a

Observation e55c02d8-ac76-4944-aa6e-01f76d91be40 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 34

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source=arxiv_source observed=2026-08-03T07:10:44.101488Z digest=sha256:70875bc8ead0bbc163a3248d6e6eacc8c78be9a72f71cd2b8eed0911be160fec

Observation 101ca5d6-e5f9-4663-997a-052ec943bad8 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 35

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no resolver link, observed 2026-08-03T07:10:44.103805Z

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source=arxiv_source observed=2026-08-03T07:10:44.103805Z digest=sha256:11a77f15754b392b0d30f0ac6947500514d07b0d38c0ce7059367544915bf15b

Observation ec976de4-ef10-45fc-9e4f-057dee08d60c · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 36

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source=arxiv_source observed=2026-08-03T07:10:44.106943Z digest=sha256:1d5fa4b9d2af5da3088119596b68cd24fdfe86542368dee9bbe3448053cecb2f

Observation 98f6eb34-a95c-4c31-9ca7-1218fa369889 · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 37

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no resolver link, observed 2026-08-03T07:10:44.109298Z

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source=arxiv_source observed=2026-08-03T07:10:44.109298Z digest=sha256:e2553955c94c9abe02d174678e687ffb1cd3c712823da063ca1d1b18db7a07e4

Observation b47a8fd0-bc5e-441b-9feb-aa375e37f0d7 · outbound

This paper cites B.; Hayder, Z.; Rolland, V.; Stone, E.; and Petersson, L.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models B.; Hayder, Z.; Rolland, V.; Stone, E.; and Petersson, L

Reference 38

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T07:10:44.112324Z digest=sha256:220bcba878d5904471e37b78a0e7403eeb84eaab680048242650a52968a2aab2

Observation 18b5377d-bf17-413f-835e-d2963115d90a · outbound

This paper cites an unresolved cited work.

A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models Unresolved cited work

Reference 39

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unresolved
no resolver link, observed 2026-08-03T07:10:44.114728Z

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source=arxiv_source observed=2026-08-03T07:10:44.114728Z digest=sha256:57eade8fae94845bdfc41e7f30315e24403748520c9cb34dc5b7f8f0368c271b

Pith citing papers

Observation 46f2450a-7569-44fe-ad03-47c62c86b788 · inbound

Temporal Sheaf Neural Networks with Dynamic Orthogonal Transport cites this paper.

Temporal Sheaf Neural Networks with Dynamic Orthogonal Transport A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models

Reference 63

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local_arxiv, observed 2026-07-03T00:47:30.746288Z

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source=arxiv_source observed=2026-06-27T17:00:10.690186Z digest=sha256:aeba1236aa339a1ca474a02306e6bafd2ae1f66d93d05b927b601339bdec8ddc