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Paper Citation Record · LEDGER

The automorphism group of the zero-divisor digraph of matrices over an antiring

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.04614.

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

pith.paper-citation-record.v1
1908.04614 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:45:16.347428Z

measured 21 of 21 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 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

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 05790498-5bee-4bf7-88e9-9afbf01e7a78 · outbound

This paper cites an unresolved cited work.

The automorphism group of the zero-divisor digraph of matrices over an antiring Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:45:16.735442Z

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.

source=pdf_text observed=2026-08-14T13:45:16.240436Z digest=sha256:05a3f2dbf4b766c66cadd21bd77987eec48026d5d81eeca40f9a2bf691c1b9b2

Observation 537ab425-7f53-4665-9d6a-d038f7456f47 · outbound

This paper cites an unresolved cited work.

The automorphism group of the zero-divisor digraph of matrices over an antiring Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:45:16.720174Z

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.

source=pdf_text observed=2026-08-14T13:45:16.245756Z digest=sha256:e857bcd3f5ef5e5f01f786cf4dcfad2d6a98172f1b4deaddc8564c80a2ac2682

Observation 593af9ed-b731-4349-ab85-0fbd5443e94e · outbound

This paper cites an unresolved cited work.

The automorphism group of the zero-divisor digraph of matrices over an antiring Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:45:16.704630Z

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.

source=pdf_text observed=2026-08-14T13:45:16.250667Z digest=sha256:631d781240c95d581d7a9fe030d40b9be17c429a482ced42a66773be77c04451

Observation 4a18c093-9f6e-4922-8334-e4535aee1dc9 · outbound

This paper cites Baccelli, J.

The automorphism group of the zero-divisor digraph of matrices over an antiring Baccelli, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:45:16.688459Z

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.

source=pdf_text observed=2026-08-14T13:45:16.255704Z digest=sha256:251c6ad90d32306eedc2899a49f648bd592326c2f683a8412dbcb7498e84b7e4

Observation 128fc4f8-fe1e-4e3b-a350-1008c7875231 · outbound

This paper cites Beck, Coloring of commutative rings, J.

The automorphism group of the zero-divisor digraph of matrices over an antiring Beck, Coloring of commutative rings, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:45:16.673655Z

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.

source=pdf_text observed=2026-08-14T13:45:16.260596Z digest=sha256:987759006ba005f726de1ea915987b5a0172cd11224f4db5a3040e5d9fc6107c

Observation 96c531b7-195c-40d5-af1e-ec9e53f78d94 · outbound

This paper cites Cannon, K.

The automorphism group of the zero-divisor digraph of matrices over an antiring Cannon, K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:45:16.658201Z

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.

source=pdf_text observed=2026-08-14T13:45:16.265949Z digest=sha256:5383f4509f8723da627a6a3f39226bf7901247425f303a25c32187ebf69185c0

Observation 53beac79-66b2-4e37-93ad-f5096cd02ce4 · outbound

This paper cites an unresolved cited work.

The automorphism group of the zero-divisor digraph of matrices over an antiring Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:45:16.641844Z

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.

source=pdf_text observed=2026-08-14T13:45:16.271749Z digest=sha256:2a7d8158171b2770a086ae22969b62116ef3939569f4a56dd81f0483fad77dbd

Observation 00cff4b7-533a-4583-9c54-6009e12275b3 · outbound

This paper cites an unresolved cited work.

The automorphism group of the zero-divisor digraph of matrices over an antiring Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:45:16.624962Z

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.

source=pdf_text observed=2026-08-14T13:45:16.276619Z digest=sha256:0d91c17cd3e5e779c1450c878f115e4fe8f3f0d7fcf8d6a941adf4a33eec1e52

Observation b1d0f0bd-bb74-45db-acd5-9586f1533d96 · outbound

This paper cites Dolˇ zan, P.

The automorphism group of the zero-divisor digraph of matrices over an antiring Dolˇ zan, P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:45:16.606227Z

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.

source=pdf_text observed=2026-08-14T13:45:16.281480Z digest=sha256:132592fdb8a767269a263e8744c92f11c41e43f0305a261fe7785da1dd7936c8

Observation b4569047-835c-4f13-89d7-954dc832b6f2 · outbound

This paper cites Han, The zero-divisor graph under group actions in a n oncommutative ring, J.

The automorphism group of the zero-divisor digraph of matrices over an antiring Han, The zero-divisor graph under group actions in a n oncommutative ring, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:45:16.588070Z

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.

source=pdf_text observed=2026-08-14T13:45:16.286080Z digest=sha256:18ac2c3fbf796100da5a7d11855676e7d844f9ae2b4fddbdb39b1cbe3e3db6df

Observation a88a1679-3a2f-4b05-b73e-9d892ec33ac7 · outbound

This paper cites Hebisch, H.

The automorphism group of the zero-divisor digraph of matrices over an antiring Hebisch, H

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:45:16.570885Z

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.

source=pdf_text observed=2026-08-14T13:45:16.291002Z digest=sha256:40eccd6b8fdfe285f07475dd23a2573b0b8c14d092923521899bb03c40dc036c

Observation 73a85160-23ba-48b7-bc18-98188ba5b26e · outbound

This paper cites Li, A heuristic method to compute the approximate pos tinverses of a fuzzy matrix, IEEE Trans- actions on Fuzzy Systems , 22 (2014), 1347–1351.

The automorphism group of the zero-divisor digraph of matrices over an antiring Li, A heuristic method to compute the approximate pos tinverses of a fuzzy matrix, IEEE Trans- actions on Fuzzy Systems , 22 (2014), 1347–1351

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:45:16.553577Z

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.

source=pdf_text observed=2026-08-14T13:45:16.295939Z digest=sha256:e5352fd2bfa174893cc8fd876d1c1c892b3dea19d36aad45658f838a4fdc6a94

Observation bc37962d-12ee-4640-86bd-10ee5a3ed8b2 · outbound

This paper cites (2019), The On-Line Encyclopedia of Integer Sequences, http://oeis.org/A048291.

The automorphism group of the zero-divisor digraph of matrices over an antiring (2019), The On-Line Encyclopedia of Integer Sequences, http://oeis.org/A048291

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:45:16.535321Z

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.

source=pdf_text observed=2026-08-14T13:45:16.300865Z digest=sha256:1e868ceb32c2fbabaaaad1388af0849010565c0be4a0c65de93225d359bdec22

Observation bdd15e6c-a060-47d4-a9d0-078221bbfb5e · outbound

This paper cites an unresolved cited work.

The automorphism group of the zero-divisor digraph of matrices over an antiring Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:45:16.518689Z

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.

source=pdf_text observed=2026-08-14T13:45:16.306130Z digest=sha256:87950a04a05763b187f77d5055cb8374f01ab1473ba1c46d70ba9e736ea84d14

Observation 68d47d29-406b-4ced-8451-52f28d201845 · outbound

This paper cites Patil, B.

The automorphism group of the zero-divisor digraph of matrices over an antiring Patil, B

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:45:16.502642Z

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.

source=pdf_text observed=2026-08-14T13:45:16.310979Z digest=sha256:c7dd3e272f84fdad5fefa24368de5724380a5f7c5c4b1d1c7a2372e92cf227cf

Observation f8c34e67-1faf-44cb-ba05-fb88ffe80eff · outbound

This paper cites an unresolved cited work.

The automorphism group of the zero-divisor digraph of matrices over an antiring Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:45:16.482546Z

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.

source=pdf_text observed=2026-08-14T13:45:16.317143Z digest=sha256:c0dabe20be53bf52fddc85c9f6bbbc26275a2c174857c064a738e98f24cfa83b

Observation 64148a3c-1cac-468d-8035-caf0c7e5b4c8 · outbound

This paper cites Wang, A note on automorphisms of the zero-divisor gra ph of upper triangular matrices, Linear Algebra Appl.

The automorphism group of the zero-divisor digraph of matrices over an antiring Wang, A note on automorphisms of the zero-divisor gra ph of upper triangular matrices, Linear Algebra Appl

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:45:16.462741Z

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.

source=pdf_text observed=2026-08-14T13:45:16.323292Z digest=sha256:bf780776c54aaaddce28e4a3eb3a46fed08e7f6f0aecae0e69920ac7212161f6

Observation 81de4bae-e741-403b-ab3d-01e104fefda3 · outbound

This paper cites Wang, Automorphisms of the zero-divisor graph of the ring of all n × n matrices over a finite field, Discrete Math.

The automorphism group of the zero-divisor digraph of matrices over an antiring Wang, Automorphisms of the zero-divisor graph of the ring of all n × n matrices over a finite field, Discrete Math

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:45:16.444726Z

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.

source=pdf_text observed=2026-08-14T13:45:16.328621Z digest=sha256:752900bdac5d3fcd428296353850174376a56ec7a7b1b5de1c428bf2686ffb48

Observation 0a376185-25bc-4a0b-884d-aa9452105156 · outbound

This paper cites an unresolved cited work.

The automorphism group of the zero-divisor digraph of matrices over an antiring Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:45:16.427223Z

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.

source=pdf_text observed=2026-08-14T13:45:16.334920Z digest=sha256:12ad751125b6ea9ede08abdb004d24758caf052ecb1d2fa844cbb989e419caa6

Observation 3461b2e5-8519-47f4-920d-c9c2df7e3f48 · outbound

This paper cites an unresolved cited work.

The automorphism group of the zero-divisor digraph of matrices over an antiring Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:45:16.410313Z

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.

source=pdf_text observed=2026-08-14T13:45:16.340867Z digest=sha256:69cfa8b49a4db9185045a9673217d407ed3b93fc0a02dab9a67089c0fd1a1a82

Observation 49ad9a31-e6a8-46d7-b366-8f58244e337e · outbound

This paper cites an unresolved cited work.

The automorphism group of the zero-divisor digraph of matrices over an antiring Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:45:16.392629Z

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.

source=pdf_text observed=2026-08-14T13:45:16.347428Z digest=sha256:d75359b8304a64ad10f793bdd9de81fc1ee036b9d58bb83830343e1af89d64b6

Pith citing papers

No inbound Pith citation observations are available.