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Paper Citation Record · LEDGER

Transforming the Erd\H{o}s-Kac theorem

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.08503.

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

pith.paper-citation-record.v1
2506.08503 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:24:43.133003Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved22
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 597e6019-e4b6-42bc-8655-fa82cc62e9c1 · outbound

This paper cites write newline.

Transforming the Erd\H{o}s-Kac theorem write newline

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:43.059677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:24:43.059677Z digest=sha256:7505486c4d6b6dcf765fb2141dbe691e416b29922fbecc14ab4ba279977fd49f

Observation 29b19e0b-cd5c-4ff7-acb3-66176736c0fc · outbound

This paper cites write newline.

Transforming the Erd\H{o}s-Kac theorem write newline

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:43.063604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:24:43.063604Z digest=sha256:8d6c3d24d4cc43c0fd0c9ee3c2e70d6255bb5b92ca800d37fec6946045b4825e

Observation d51db91b-77f8-4fe8-82f9-cf710a32c8ca · outbound

This paper cites write newline.

Transforming the Erd\H{o}s-Kac theorem write newline

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T05:24:43.067116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:24:43.067116Z digest=sha256:ff8d53285e39f34bc71f1538f695c9254a95c0e10edb914618cb20dd91379682

Observation 20fdc170-ad0c-43b0-9418-3b02b994e65f · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.337864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.070432Z digest=sha256:28a90d74d2d1906b7f5388101b9f36c458e1ff00611ba5a3a1b182ff80b5a3e9

Observation 0def4991-5554-4a7b-8754-d1423db65bc9 · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.330142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.073836Z digest=sha256:751f6e6bf38f83a0f55ef82522331b667c41fc4f8b85619c6abfd2758674042c

Observation 9f158fcc-5654-4c62-86db-f32742d65b1e · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.322106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.076881Z digest=sha256:d54e491883066c7584a111d9fcaf0dc5c95be0709c5f79666b0d12c90d221af3

Observation 06f2a635-81bf-4d00-bdba-9c0a29171ae8 · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.314203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.080074Z digest=sha256:20a18bd81127b4e59b04dde6f4b805fd77716fc8dce5ff532459a4bfe8871474

Observation 5d569317-7abd-4be7-b6fc-ee58c963f214 · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.306434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.083151Z digest=sha256:805d6caca4c329dbd7c3afcaba6d3149158b6f7fae3921095e35dfd84486174b

Observation 578fecb6-3d06-4baf-9c44-1ecd86c66546 · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.298767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.086074Z digest=sha256:b95ebe38268bf16a6849ef7bc33cdb22a2029f28276a6781be43a86e45606d77

Observation f0f3d43e-c6ca-42cd-a1c4-96a8b7cee47f · outbound

This paper cites and Kac, M.

Transforming the Erd\H{o}s-Kac theorem and Kac, M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:24:43.290872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.089273Z digest=sha256:dd3b159f85dce14116bd0063747d61ad8d34036fe1e8eaee504be5cfb45f6c0c

Observation d50ad751-718d-4b10-8a14-2b5c57d71e2b · outbound

This paper cites and Kac, M.

Transforming the Erd\H{o}s-Kac theorem and Kac, M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:24:43.282685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.092142Z digest=sha256:4cb5cce0ad55d52b6061f02c8132e874738a9701ba4efb336dffef187ad5b179

Observation 0c69a9c4-dae4-4bd0-8662-7827814062c6 · outbound

This paper cites and Pomerance, C.

Transforming the Erd\H{o}s-Kac theorem and Pomerance, C

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:24:43.274944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.094998Z digest=sha256:5ae32f3b1e10132263ea413b6a8f80961725b25acd78059e1b4995e45c432728

Observation 859d3ea5-6612-48ef-bcee-2093e7ea019e · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.267174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.097853Z digest=sha256:d519532a91856c85afc1aa0702692a943b8ba24a33ec3ac3d3854427a666f044

Observation e74ce1c2-a839-4a39-885d-75ef04789dec · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.259299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.100625Z digest=sha256:54340ba6bc74fb1f7e9c6fbd38aa06a5721175185f5318a6c0c0ebd9c2d1e441

Observation fea754d1-67af-496e-b318-3ef1fab52f9d · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.251459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.103391Z digest=sha256:4039c53ebbfc3e929e42e65ec3b02b988a57c6ddd6084b455d788485badc3baa

Observation 0567d6cc-82d4-4dae-94fa-3b248a579acb · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.243456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.106211Z digest=sha256:27c3e0f6e58806c9a7b5b9a35fea82c2a7f9e3669d0ac392102feb943718f28d

Observation 297595a7-6095-4567-8c2c-1cff886212f4 · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.235317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.109135Z digest=sha256:4425116a2a9f0563701d686e573be1aaca499fc7af3608db7d8d9b1655ffd7d5

Observation 611ec553-f223-4642-986d-af238dd7367b · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.227246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.111885Z digest=sha256:e3b8f4e3aca88b4aedf9095235cbc5f4149e7b35da30ac1686f9a0460bbd7b76

Observation a6baf91d-1e90-449a-8aa3-cf1b53a310f2 · outbound

This paper cites and Ward, M.

Transforming the Erd\H{o}s-Kac theorem and Ward, M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:24:43.217748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.114569Z digest=sha256:5f00056de74dbb22f88306cddbfa84d28104d35298e58c4c1b18b2170b89614b

Observation e124868d-f741-4a71-a5da-f38754e4aa20 · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.209806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.117317Z digest=sha256:7965cc33f3a7b3c03d4e15f718e6fbf95eb7d02b7073ef8e8fbced054eeb3bc3

Observation d47b30db-6b6a-40d3-9f9c-5ce5203fbb22 · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.201372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.119942Z digest=sha256:b0bbb9174813455f55d30a58f92c4482fbc534217155d36794cc7e028afab69a

Observation be9838b4-6d5a-4672-8be6-9b8561841f1b · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.191523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.122599Z digest=sha256:e4e184b1263da08123f460df67fc5a10f6b3a4afe1c15c08bd6a81ceae2dfd48

Observation 19a82c94-24eb-4e04-8b6e-848b0f44e1cf · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.183065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.125316Z digest=sha256:1928f9c994c4ab11723292920c8960de8ee82ceff1a8779160d87933b7699977

Observation 54694b20-68f2-4763-b6a3-2c48beadcbb1 · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.174359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.127833Z digest=sha256:9a455f42c45f0a3651818c2341a2cef94bb73dc95c0b3a6233e56605d7175f9d

Observation 3efd5f84-ff4e-4f73-ab9b-5b5cb4a9ee35 · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.165853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.130453Z digest=sha256:18d89d66d2bafc2ec47944558a8ab945ad6f48a748f890f8faa60269487c7a28

Observation 4fefd2ab-9322-48fe-aef3-908c21f1394f · outbound

This paper cites an unresolved cited work.

Transforming the Erd\H{o}s-Kac theorem Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:24:43.156762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:24:43.133003Z digest=sha256:13c86248c0c3a89b60173df85b9b1e3977f1e20c660f98c48a283b2224225f67

Pith citing papers

No inbound Pith citation observations are available.