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Paper Citation Record · LEDGER

Graded Neural Networks

As of 5 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2502.17751.

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

pith.paper-citation-record.v1
2502.17751 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T02:38:36.112520Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:40:22.962187Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 246f3754-3fa4-44b7-ad12-d35dee56eb1b · outbound

This paper cites Shaska, Artificial neural networks on graded vector spaces , Contemporary Mathematics (2025).

Graded Neural Networks Shaska, Artificial neural networks on graded vector spaces , Contemporary Mathematics (2025)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:55:32.273446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:be89c5806d2d275cbc480448d5f15d6360082bf372ed22b362803accd8c56a6a

Observation 500464f6-3fc1-46b1-a516-5b7e8796961d · outbound

This paper cites Algebraic Combin.

Graded Neural Networks Algebraic Combin

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:55:32.296375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:333f06802cc436158ad3de71ecb4b6876a525358909c788ca7dc46d9b47757f9

Observation c5b43515-6e8f-4d5b-8db4-c6231f3309c3 · outbound

This paper cites Bourbaki, Algebra I, Springer.

Graded Neural Networks Bourbaki, Algebra I, Springer

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:55:32.322486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:feae0f86c5c97b753176be2123c91136503c3273acc6b023756cbf55ade97e21

Observation 35096f71-b8bf-4321-9e20-0deafa5ff9d6 · outbound

This paper cites 135, Springer, New York.

Graded Neural Networks 135, Springer, New York

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:55:32.328803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:023af761092f5e02835c38124903cc5d046173993e1891191f82cd85ae84b813

Observation 538129e1-5de0-455b-a228-a61c89e085c1 · outbound

This paper cites Koszul, Graded manifolds and graded Lie algebras , Proceedings of the international meeting on geometry and physics (Florence, 1982), 1983, pp.

Graded Neural Networks Koszul, Graded manifolds and graded Lie algebras , Proceedings of the international meeting on geometry and physics (Florence, 1982), 1983, pp

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:55:32.319295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:2f76e83c431c8212f4fedb653d54130ad5147247b55ff8f642a202bff56d3926

Observation b41f4654-4b31-4d13-8711-c0191631e3d9 · outbound

This paper cites an unresolved cited work.

Graded Neural Networks Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-23T08:55:32.315719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:f1e67bd8095d09e4fd1b6b669d27c62096a1ca68d486afb94665ed98bb43541c

Observation 8efbb097-b5ac-4791-a8d6-f8cebab1196e · outbound

This paper cites Bondarenko, Linear operators on S-graded vector spaces, 2003, pp.

Graded Neural Networks Bondarenko, Linear operators on S-graded vector spaces, 2003, pp

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:55:32.293156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:62ce7d44992e23fee105e4801b869446d94b8a83b03a41c906844938ef43555f

Observation c805ee72-f7f6-436e-8b52-a70f06e6a7bd · outbound

This paper cites an unresolved cited work.

Graded Neural Networks Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-23T08:55:32.289703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:5339f9412873dc96797107d20fc6cbd34f5dc8d0ad0f3facac247203860beb1c

Observation c6be88c0-68e8-46a4-b86d-9cb3939deccf · outbound

This paper cites an unresolved cited work.

Graded Neural Networks Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-23T08:55:32.286255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:f3813bb6fd4ad2272985da202dd89bf00ef84232bc7c3cfb886a971b4bd93aa9

Observation 7eb9eeb2-ff68-48fe-84b9-707817314480 · outbound

This paper cites an unresolved cited work.

Graded Neural Networks Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-23T08:55:32.267575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:46590e249569b127acd109acfe4a40780fd18ff242a2412e29bc45fa23518aae

Observation 2f73947d-e18a-4c07-bc95-6874ebe645ab · outbound

This paper cites an unresolved cited work.

Graded Neural Networks Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-23T08:55:32.299551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:2739aa1f1cb6d87ccbaf5c3b1126dd4dd5ec87ef200fa8797a361b8f93016f1b

Observation 2a8f978a-d9a5-4d0c-a8ae-0a81a2bd95f8 · outbound

This paper cites an unresolved cited work.

Graded Neural Networks Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-23T08:55:32.302828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:5d067e63eebb36c14086f47efdd5b282ef1d3e4210ac83ad01f55bf46c911fa7

Observation 741876d2-114a-426e-94f2-ad6afe925c36 · outbound

This paper cites an unresolved cited work.

Graded Neural Networks Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-23T08:55:32.306079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:9fd1a77e3dd99b29452a4020abb56003e36638682859473a850410fcd92192ca

Observation 6897dda4-f47e-4017-8d78-5841c7c6fa0f · outbound

This paper cites an unresolved cited work.

Graded Neural Networks Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-23T08:55:32.309285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:2c73563d43d2ac63fd9419ac23b04f93f7103a443f4a9597a439346e7c0d7443

Observation ad3c3236-8801-4510-be95-1c176ac75acd · outbound

This paper cites 12, 1690–1699.

Graded Neural Networks 12, 1690–1699

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:55:32.312510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:296c7302c0bc9fed46740b73cee7531b97ce6eb6f5c036b6fb579c966047127d

Observation e838f6ab-4c51-44b2-bc9b-744b7111898c · outbound

This paper cites 2, 251–257.

Graded Neural Networks 2, 251–257

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:55:32.325578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:e52ae8f0bc78bd89d8d8a6664cfe99bd3781e2aef0c4da64957cbd9aa7663f88

Observation 2b9def83-2c65-4c49-abb4-62be01e79f29 · outbound

This paper cites an unresolved cited work.

Graded Neural Networks Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-23T08:55:32.276831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:d92d18c5ed0b27372f16672432332d804cf936ce8556f8dbf63d93f06feadd64

Observation f9bdf0e9-7041-4575-8fb3-75246e38e979 · outbound

This paper cites DeVore, Nonlinear approximation, Acta Numerica 7 (1998), 51–150.

Graded Neural Networks DeVore, Nonlinear approximation, Acta Numerica 7 (1998), 51–150

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T08:55:32.281669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T02:38:36.112520Z digest=sha256:d4ff4a34a06ae54abaa0a3b32fed688c5de0716bf3aecaa0880fa99a25aaeb72

Pith citing papers

Observation 6cfd6ccb-3c87-4de2-a257-710c6028bc45 · inbound

Graded Keller maps and the Jacobian Conjecture cites this paper.

Graded Keller maps and the Jacobian Conjecture Graded Neural Networks

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T10:40:22.962187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:40:22.962187Z digest=sha256:c87dcd25649de5fc02b634972e98734a32dba591ea038874a5c3cfe291bfd82b