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Paper Citation Record · LEDGER

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory

As of 22 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1909.02656.

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

pith.paper-citation-record.v1
1909.02656 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:35:38.026684Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d8bcf0d7-c98b-4af5-a736-8152c0d50732 · outbound

This paper cites W., & Ellis, G.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory W., & Ellis, G

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:35:38.264088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:37.961852Z digest=sha256:23b4407e3f884b2a3d606c7e0f4be4ffe8a58253af7e730ff0bddb355a89c53e

Observation e4a1fe68-08d3-46ec-b2a9-cc2f4134fe4b · outbound

This paper cites an unresolved cited work.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:35:38.250632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:37.967968Z digest=sha256:496fbe63a1858319c5427912b7d799196ee0ab909dbace151072a92f49a95907

Observation b202851b-14e2-4574-ba34-10792ceb8679 · outbound

This paper cites W., Thorne, K.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory W., Thorne, K

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:35:38.237376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:37.972716Z digest=sha256:b6d7fc51e02ea51ed8a97f50cc89488ba5ebee3d022109dc07d51b50e7e0ceba

Observation 59fc790f-a38a-4e73-9689-44ceae124c3e · outbound

This paper cites G., Sivasankar, S., & Palanivel, K.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory G., Sivasankar, S., & Palanivel, K

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:35:38.224580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:37.977408Z digest=sha256:975e564a72fa34a3886d6bd89c43b5fe9e95a7404f0c0d01b816aae214203710

Observation 98a9390b-c321-4d86-8575-da584f72b5d8 · outbound

This paper cites N., & Nair, P.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory N., & Nair, P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:35:38.211340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:37.982313Z digest=sha256:8766e4b5bd028514a095662d323d3a4edc4675f7ffccccc6b58750b6fb5060d8

Observation d16fff61-363a-4cc4-9f58-87d25a2d08df · outbound

This paper cites an unresolved cited work.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:35:38.197559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:37.987541Z digest=sha256:92d2cca579a79aec26e8bb2d66bc014e9249842b4f3faf2057ea0d73afc651e7

Observation 33f2d2cd-84e0-481d-9594-9364e96a9570 · outbound

This paper cites an unresolved cited work.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:35:38.183462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:37.992345Z digest=sha256:d151939aa79b0c336cef47d400b25710fe729b041880e695189a9cf6c10831bf

Observation 5f808705-f3fd-4b13-b90b-2a9e7f64e7b0 · outbound

This paper cites an unresolved cited work.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:35:38.168419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:37.997344Z digest=sha256:516d07c21da2e47525aa0bf4b10b8fc9a8f50bab2ec0fd165bac2d89f5748d3f

Observation 6ef4b379-d44b-432b-8632-dc9b94fba663 · outbound

This paper cites an unresolved cited work.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:35:38.154123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:38.001853Z digest=sha256:42886cd2480c7522206a1fa09b56c545ee062ebb8ca2aa425b2171ac5da551ef

Observation 775bcbf3-6bc1-4735-aeea-bb0fa338f263 · outbound

This paper cites an unresolved cited work.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:35:38.139420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:38.006365Z digest=sha256:4446689baf3194eb2bd3bb0f0e65346e3802e1f05ca41d03803f9ed14525877e

Observation 21f10657-4abb-4c6d-8b32-bd5a51d4e332 · outbound

This paper cites S., & Vijayakumar, A.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory S., & Vijayakumar, A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:35:38.123024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:38.010892Z digest=sha256:9eb48dbe93a71e01ca79c5cf7b224ba07cd8fa0325fe00473c801081d33a6516

Observation cc1eb60e-ca10-4a12-b89b-88fedaf445d1 · outbound

This paper cites an unresolved cited work.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:35:38.107619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:38.014952Z digest=sha256:434fd8917ecc5f7e976203a722c24707571a5e21f227aef28d3f485bc2c55195

Observation 0eb266d5-d013-46cc-82df-54606d2d7a7e · outbound

This paper cites Geodesies in fuzzy graphs.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory Geodesies in fuzzy graphs

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:35:38.091633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:38.018940Z digest=sha256:96c4b8f833904cf50660fdef5c484670c8b8a86a4994c5b5075c4b7409e502a6

Observation 127fef23-d1fc-4a20-8c21-5d4393089d06 · outbound

This paper cites an unresolved cited work.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:35:38.076915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:38.022675Z digest=sha256:4f822522060d4d69f29bb81e08505c2be5baa3bdbd2d05f51ae13e3c3b2c17e7

Observation f801184f-9e31-4464-a881-7aa793dcbdc4 · outbound

This paper cites W., Hedetniemi, S.

Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory W., Hedetniemi, S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:35:38.061613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T11:35:38.026684Z digest=sha256:77ccbb9367496641f54f545f4c1af7f5a1bae7efa346a9dad1ba812c98ed3711

Pith citing papers

No inbound Pith citation observations are available.