Pith. sign in

Paper Citation Record · LEDGER

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$

As of 3 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2605.00518.

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

pith.paper-citation-record.v1
2605.00518 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-09T19:12:32.380745Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+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

34 of 34 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bb6edf9b-93a9-4e98-9d3a-bc6802e50ad5 · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.216027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:f67e1e1ae6f80d21c7660f05b5e180794decf5ca8cc28acb31596077c914e710

Observation a80da269-baf2-4afc-b9c8-78f47c9bcb2f · outbound

This paper cites Farhi and S.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Farhi and S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.199338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:da354dc4eded71cadb84a86d319bcf25fa8945f305858ab3fa1b8743183fc52c

Observation babde594-f282-4dd3-a468-4227a464cb49 · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.203229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:653c419e8756cf7c0c565dddb6e5a93a95bf9710d3054679e50d4bb663e1a4a6

Observation b80c7eca-e066-4d0d-bd80-dc60b795bac9 · outbound

This paper cites Monterde.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Monterde

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.190613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:cd7ce1765a7fc25a6fa88f2666dbbb83a60a100b66402d13dc6cbc9358617b04

Observation f1e8cf03-d568-4dfa-94da-5aa8ffbf970c · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.187132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:2dc9eb17927a1bde9554e84172f413dac0ef2465386fc9dba6e125528bbb24b9

Observation 2e49bfc3-7ce2-4978-9440-305b4abebb7d · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.207122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:87558176a6b1c840d0aa5d7004ecca52731d3b56e15e0a28ca935721ca57533a

Observation 7e498b01-8cb6-4ef2-b95b-36ae3fe2c2ee · outbound

This paper cites Rohith and C.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Rohith and C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.210277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:848e014b0dfc4f56a431c7a6be174f43b3ccfc13b91c8d54774180c42ca39946

Observation 8c0e69fc-2d97-412d-acf6-712e19b6193f · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.219342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:ef42fe53ad1c9844e215cfa4824aaf1cbcce9a2ecc7ca89f951f5f607e87bdf7

Observation df387c2a-6a63-4ad5-82b1-5eb32ac9f4b9 · outbound

This paper cites Dooley and T.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Dooley and T

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.222548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:31e191f6d3a05debe3e09e728bceba539a7cdcaf685ce06a4c3e36a0e6b7bb4e

Observation f0f13da9-feda-40a5-95f4-2b6ffc0fc825 · outbound

This paper cites Christandl, N.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Christandl, N

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.194830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:1dcfbdc9f25f85847e6afef2ce7bb0ed088c7a5d1ba3a54856d86f7b67ad754a

Observation 41655e21-6580-496d-baf1-42373e8062c1 · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.225968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:9a8fc67f17e2f398bdcbabdf55b483d9ca200523446e1502c6e915c4a49b7c37

Observation 8719bb27-6877-4f8a-9cf7-07a17e1681fc · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.116831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:0065b40e489f52e11d96db33b5b83c91a1191ffa0b37569ab27f93f2bc8927ed

Observation d37eb49c-5ac3-4a83-a616-19b9c07872fc · outbound

This paper cites Baˇ si´ c and M.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Baˇ si´ c and M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.108198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:f0c1d93f6c5bb2a1fdd5f0f7e7a001e990697efe36f19d8e103bf56ef74fec97

Observation b948564f-0390-4bef-969d-6e3b830c5869 · outbound

This paper cites Baˇ si´ c, M.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Baˇ si´ c, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.111935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:8c1852b8fc97727f3e379d51fdb2303313fd2be48619995a6222ffc570150863

Observation eb8b582f-7642-44f3-9fd1-ba8a798e884e · outbound

This paper cites Meemark and S.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Meemark and S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.145159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:3ee6252daee7d557eff2c82bc00d5e24e229e3e96df66148f7b5d22027f1e37f

Observation 2eb36b7c-b850-4f9f-bf61-dadc19e45e4f · outbound

This paper cites Thongsomnuk and Y.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Thongsomnuk and Y

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.152285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:6067cb0322929cf57de8d5e0d7ad91a767952a3f5f3499bc5d5808a1a29d0090

Observation 32567e7c-b565-4a30-ac14-071fb0aacfae · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.179855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:ddd2a3caad44a6eab24ba6a4db4bb7560f47db54c642e2e69f22ab80bfe1e705

Observation b53dbee6-a9fb-455b-9175-d638b1f806f3 · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.123103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:9cb622fd61262f169799d13604aa61438049d6b73883cb9f7d185227bcbc653c

Observation f7a90843-370f-4968-975d-17abeb2d89d2 · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.128615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:11c45dbc63df4fb5d63e74cfe15345a233a2cb226a6fa1497b9fbba80ac2b64e

Observation f5204f5d-bd59-45da-97d0-c421141f54bc · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.137277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:55dff0f25c34f5f621df271dca72975fc2744f5c716da8c3a9a81678c09e04f7

Observation 817b96f7-27de-473e-ad5c-028f8d0f9fd0 · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.148891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:917aeecd5f45e076f3ffc92cab28ee2c555fcae8444792b67f551377d8a67ed4

Observation abad98a8-60cd-409f-92bd-94f96dfb0d1f · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.097958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:db93bc80380d85bea81967e04127994c70307a97a16251c6fc6285667b0dde3d

Observation caedd909-d27b-4bcd-add7-ff586b57a282 · outbound

This paper cites Godsil and X.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Godsil and X

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.141387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:48ece25693a4976cf8923e3fe3300a6c304b447a1273eed15b62310a8aacdcc6

Observation 6637eff5-7883-4d94-9512-9a07bfcb71a3 · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.132769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:745b10837381e36e19f23deed33379fc746675af92e21a879578da830f76503c

Observation d06f633c-521d-45ef-81fd-9327d7c5b04d · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.176122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:fb6a8a4e0213733abc08720d05c274414488d24c423ea3e93c6457939be032c5

Observation 40ef9685-c59a-4bd7-8e81-0479404c72d8 · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.166099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:049e8cef6cf24eeca037698c7d4e3f9dda932ff2be5eb590c5348f386668676d

Observation 485fe21a-d528-4e72-9cc5-02e4c256603b · outbound

This paper cites Jitngam, P.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Jitngam, P

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.168937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:74c6176963a091fa4ede6d4e51396d3e7a116d9e924e221b2e33ae9cbce3e23a

Observation 2473ebba-ddbb-410e-ad7b-2cccfef2270e · outbound

This paper cites Fan and C.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Fan and C

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.172136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:de8da55850a476512dc0db91492574fb44fe5e3e39e3dbc0dca1fa6843114a8d

Observation f9104b17-8328-4aa9-820d-98c30994f6d4 · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.183299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:07a8e32abab5fc9a8c247b0aa4eb36081273a79dec9991a69e9a8afd6e685378

Observation d83884df-7f6b-4ec6-9c93-67d4b2fc10df · outbound

This paper cites Bajaj and P.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Bajaj and P

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.162571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:e45bfec3711ec7a09752e52e12f8254f0e0913c8c8a674e1bab41980aacc9d53

Observation 9178400d-da01-4f1a-8c86-04c6808b02ff · outbound

This paper cites Chattopadhyay, K.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Chattopadhyay, K

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.104031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:31ad9d1f5a56da11f4fd72b8812458a704421bf58e27aba3cadc80f72f024e21

Observation 5c2f9c7f-696b-4f76-a923-9d2be753febb · outbound

This paper cites Bachman, E.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Bachman, E

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.100196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:f74f39d2c416d916a30345bbe485625b4dd72e45261b26f89d2767f70f49a53a

Observation 100213a1-90b9-4fce-80b1-c642986cf069 · outbound

This paper cites an unresolved cited work.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-05-25T21:57:12.155763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:844f84a8e4b53c69f62de6cb5b5bc2aa3675d0be458946f5d523a3c186c88d55

Observation e8eb351a-1c4b-435d-bb9e-61d08eb9832d · outbound

This paper cites Monterde.

Quantum fractional revival on zero-divisor graphs over $\mathbb{Z}_n$ Monterde

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T21:57:12.159141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-09T19:12:32.380745Z digest=sha256:2e7001087f77685d80fd82c4abd449cab0140207b71b58e50132c62f3dd1b3fb

Pith citing papers

No inbound Pith citation observations are available.