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Paper Citation Record · LEDGER

Counting abelian number fields with restricted ramification type

As of 20 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 4 inbound Pith citation observations for arXiv:2507.00448.

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

pith.paper-citation-record.v1
2507.00448 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:23:40.331594Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:51:24.416452Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T05:04:31.270786Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 85c9c443-e4d0-4a0a-8535-74833c5887d1 · outbound

This paper cites A Random Group with Local Data Realizing Heuristics for Number Field Counting.

Counting abelian number fields with restricted ramification type A Random Group with Local Data Realizing Heuristics for Number Field Counting

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:23:36.661779Z digest=sha256:23bb484d7c81726300fab411fef1750035e9642890f61a8d23af57a3afcc1207

Observation a3a55e35-da9f-45ef-9436-a6e6cb01b2b8 · outbound

This paper cites Alberts and E.

Counting abelian number fields with restricted ramification type Alberts and E

Reference 2

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raw_fallback, observed 2026-08-06T21:23:46.800518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:36.777840Z digest=sha256:234586d22533b63749271ea0834a8497a609ef17c13ee669a09466faf1ce1b5b

Observation ce7a4c18-0286-4b91-9f5d-291a6803348a · outbound

This paper cites Inductive methods for counting number fields.

Counting abelian number fields with restricted ramification type Inductive methods for counting number fields

Reference 3

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no resolver link, observed 2026-08-06T21:23:36.901365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:23:36.901365Z digest=sha256:c100cb0c98f66a8403ce6cf0dc8b8c69614bf929a5172c5a3b68a1c66f1458f4

Observation bbf40b3d-a9c5-4687-b181-922554bf6fa9 · outbound

This paper cites Bhargava,The density of discriminants of quartic rings and fields, Ann.

Counting abelian number fields with restricted ramification type Bhargava,The density of discriminants of quartic rings and fields, Ann

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-06T21:23:46.517435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:37.023398Z digest=sha256:88de57d51eb844cdc19c3f33606c76e35c1f164132084eabcb67be6d99d7160f

Observation 16394b77-3f76-4d35-8f8c-edfdab3ee872 · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:37.164662Z digest=sha256:fad3c84347b0096ad0475ed87ef44f3cd2712cb79deda16fe8d0178c755d5482

Observation 54d09927-7fee-438a-a6d5-f16b78f2408e · outbound

This paper cites of Math172 (2010), no.

Counting abelian number fields with restricted ramification type of Math172 (2010), no

Reference 6

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raw_fallback, observed 2026-08-06T21:23:45.818561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:37.324921Z digest=sha256:9e3368175b93bc0b971728db49205b65225c900539de2874bb0bf31503e06b74

Observation c24a5f1f-540e-4173-aabb-608264094266 · outbound

This paper cites Bhargava, A.

Counting abelian number fields with restricted ramification type Bhargava, A

Reference 7

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no resolver link, observed 2026-08-06T21:23:37.399921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:23:37.399921Z digest=sha256:05eda078059533a76f89d04f5f5b347158f057e50c1d0688b8f6b98c27cf65c1

Observation 560b0ca8-59d5-4fd4-8d72-56bf74800311 · outbound

This paper cites Darda and T.

Counting abelian number fields with restricted ramification type Darda and T

Reference 8

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raw_fallback, observed 2026-08-06T21:23:45.552474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:37.526587Z digest=sha256:b247efe6f268234f3bda792fad9710dcdfa24a76275df2b78678416694bc3da7

Observation 5c20d153-f6e8-4722-8a1f-dfa348cf991e · outbound

This paper cites The Batyrev-Manin conjecture for DM stacks.

Counting abelian number fields with restricted ramification type The Batyrev-Manin conjecture for DM stacks

Reference 9

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no resolver link, observed 2026-08-06T21:23:37.661529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:23:37.661529Z digest=sha256:6a31af7bc63584ed58c3f0189fee2745ed74ca32103bd8d9a302e76fe4ef3eaa

Observation 337e0593-a6fc-477c-b004-e7c03f88139c · outbound

This paper cites Délange,Généralisation du théorème de Ikehara, Ann.

Counting abelian number fields with restricted ramification type Délange,Généralisation du théorème de Ikehara, Ann

Reference 10

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verified fuzzy
raw_fallback, observed 2026-08-06T21:23:45.225534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:37.766143Z digest=sha256:c9ef7fbcf455a9234540bcd80a55b6dd53d94618c3a246ad041f88c2537d22f7

Observation 95c89db4-94bb-4b99-ae95-10d22e24faa1 · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:37.816476Z digest=sha256:aa415e113e641e2428391cbd5661e8348763a949cdf3780e5598599dbd19bc77

Observation 89b94b7c-15f5-41bd-92ff-f313cc42c583 · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 12

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raw_fallback, observed 2026-08-06T21:23:44.632218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:37.958831Z digest=sha256:7f225bfad5d8ca60f98db2c1b85f7af97ece7504a04ac7e143840d1fa639255b

Observation d88bf1a0-4ce5-4811-8b29-bde8c62229ff · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:38.148867Z digest=sha256:f55df73c2d4a55778b932fa59dfafc98438559c31928d29d53c48fad2f6828b4

Observation 01554a80-bfb1-407d-aba4-4c4a0af77932 · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:38.224284Z digest=sha256:c5e212d8d4221036cea11dc957b204a6985ef7f9feddbfd440eb0bade7520a11

Observation f4eff797-88d9-43fa-9391-fed21e10dbce · outbound

This paper cites Malle's conjecture with multiple invariants.

Counting abelian number fields with restricted ramification type Malle's conjecture with multiple invariants

Reference 15

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no resolver link, observed 2026-08-06T21:23:38.339629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:23:38.339629Z digest=sha256:f2d2e8ac3e91d26336b3488812b95609a5b34fae1d5c17f1d00dfb39880ee727

Observation 0245bc4f-aa91-4ad9-9eb6-35a8fbd2deed · outbound

This paper cites Koymans and C.

Counting abelian number fields with restricted ramification type Koymans and C

Reference 16

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verified fuzzy
raw_fallback, observed 2026-08-06T21:23:43.892288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:38.492643Z digest=sha256:f0e018a5634e9d5c27333a90c1b48957378d83c5821517c1285361a1472692a3

Observation 674f7414-53cc-44a3-bf5b-f18f94ab984b · outbound

This paper cites Koymans and N.

Counting abelian number fields with restricted ramification type Koymans and N

Reference 17

Resolution
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raw_fallback, observed 2026-08-06T21:23:43.601424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:38.641622Z digest=sha256:fbae79153e8ff0c6503b66c19828f073d06e5bbb616377fbbae0bb758a17be8a

Observation cc73c2a0-7045-4e5c-9698-b016a29f89cd · outbound

This paper cites Malle's conjecture and Brauer groups of stacks.

Counting abelian number fields with restricted ramification type Malle's conjecture and Brauer groups of stacks

Reference 18

Resolution
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no resolver link, observed 2026-08-06T21:23:38.769617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:23:38.769617Z digest=sha256:28c7e3844671ad425452c1b6636729840885d75bcc8b5909f917046bc3ec369a

Observation 6281f9e0-2e65-413e-9e8c-ba88c35e9041 · outbound

This paper cites Malle,On the distribution of Galois groups, J.

Counting abelian number fields with restricted ramification type Malle,On the distribution of Galois groups, J

Reference 19

Resolution
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raw_fallback, observed 2026-08-06T21:23:43.322111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:38.876522Z digest=sha256:8e181d4abe67197e3ad92f04508a61400c60038157cf121968d73bf1b3c4f4ac

Observation 41073f4d-a865-4a4d-b1b3-9d08368beb64 · outbound

This paper cites II, Experiment.

Counting abelian number fields with restricted ramification type II, Experiment

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:23:43.026149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:38.985417Z digest=sha256:ab01db2449acc1ffed619e7871f089995cffaddb05a4277f5ab3abe5fed8ec41

Observation 7cf7bb0e-a727-46ef-aaf7-bd42fc44a4f4 · outbound

This paper cites Narkiewicz,Number theory, World Scientific, 1983.

Counting abelian number fields with restricted ramification type Narkiewicz,Number theory, World Scientific, 1983

Reference 21

Resolution
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raw_fallback, observed 2026-08-06T21:23:42.733762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:39.147338Z digest=sha256:537d21740a4106f7b8f0acefc6a62614b59673795fcce6d6057a71ba276d2e18

Observation 76314b69-7b1e-434e-a20c-ac1741adad7c · outbound

This paper cites Neukirch, A.

Counting abelian number fields with restricted ramification type Neukirch, A

Reference 22

Resolution
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raw_fallback, observed 2026-08-06T21:23:42.476323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:39.274473Z digest=sha256:0d497c8385a0df483e1eb946f16cb7949fe50dd6f1760094c7cffe210612fc8d

Observation 0a49a4ae-cfb2-4fcf-820a-aa58ab2a78b9 · outbound

This paper cites Peyre,Hauteurs et mesures de Tamagawa sur les variétés de Fano, Duke Math.

Counting abelian number fields with restricted ramification type Peyre,Hauteurs et mesures de Tamagawa sur les variétés de Fano, Duke Math

Reference 23

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raw_fallback, observed 2026-08-06T21:23:42.223560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:39.412620Z digest=sha256:41886736ddbfc3a4366b1b6742bceeed2ebf7fe6bc9d572f539de474169377a4

Observation 9f8425e8-2417-44c2-9061-0304a792d261 · outbound

This paper cites Manin's conjecture for integral points on toric varieties.

Counting abelian number fields with restricted ramification type Manin's conjecture for integral points on toric varieties

Reference 24

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no resolver link, observed 2026-08-06T21:23:39.534694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:23:39.534694Z digest=sha256:f5fa9dc74cc6d813e86d6d044cf199d751c8c82eb3f80fd2dea3f88a14b9894b

Observation bf46c3bc-53fc-4957-a37b-7bf6fbc6ac91 · outbound

This paper cites Serre,Topics in Galois theory, Research Notes in Mathematics, vol.

Counting abelian number fields with restricted ramification type Serre,Topics in Galois theory, Research Notes in Mathematics, vol

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:23:41.936634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:39.650969Z digest=sha256:4104a78dcd99c3804848e552659d3a286fc0b16be106911a1f014300d41388e5

Observation 6949fa3a-8132-4de6-9bda-88d909d61037 · outbound

This paper cites 11, CRC Press, Boca Raton, FL, 2012.

Counting abelian number fields with restricted ramification type 11, CRC Press, Boca Raton, FL, 2012

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-06T21:23:41.699792Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:39.796115Z digest=sha256:84dbc7c0892365a5593fb9a4bfee4d934807c7b2436e3f11419b454b5f6010bb

Observation 41a8e5d0-1ae1-4159-b2f3-5879f3eb46ec · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 27

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unresolved
raw_fallback, observed 2026-08-06T21:23:41.502634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:39.946191Z digest=sha256:4cb4fabae334ba98909cf95ae0d5f2f56056c6dc875c2d7ddb9d369f3f249638

Observation 14ffaba0-3a5a-41d6-885f-7fbc905b78f0 · outbound

This paper cites Wiles, Modular elliptic curves and Fermat’s last theorem, Ann.

Counting abelian number fields with restricted ramification type Wiles, Modular elliptic curves and Fermat’s last theorem, Ann

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:23:41.348666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:40.038383Z digest=sha256:b326fda72842be9ef49b2673864de7825dcc6ecbe2ee4fc398cbb39a3122db65

Observation 274d0a46-3360-452d-be08-30e6528374c7 · outbound

This paper cites Wood,On the probabilities of local behaviors in abelian field extensions, Compositio Math- ematica 146 (2010), no.

Counting abelian number fields with restricted ramification type Wood,On the probabilities of local behaviors in abelian field extensions, Compositio Math- ematica 146 (2010), no

Reference 29

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verified fuzzy
raw_fallback, observed 2026-08-06T21:23:41.121107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:40.205811Z digest=sha256:07157be0bb3aae37f6c27a16bdefd1e950f1df088f2025911572890f11a62097

Observation e1566b29-8a70-4f13-be0b-55f598cecde4 · outbound

This paper cites Wright, Distribution of discriminants of abelian extensions, Proc.

Counting abelian number fields with restricted ramification type Wright, Distribution of discriminants of abelian extensions, Proc

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:23:40.886837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:23:40.331594Z digest=sha256:6730431cd208e586ee9a35589b8aa5a79dde76b1808fd1f7e3f721bafe51f55a

Pith citing papers

Observation b90faca8-49af-4cc4-9ccc-63dc8346db5b · inbound

The leading constant in Malle's conjecture cites this paper.

The leading constant in Malle's conjecture Counting abelian number fields with restricted ramification type

Reference 74

Resolution
verified exact
arxiv_id, observed 2026-07-02T11:16:53.611046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T04:20:00.139241Z digest=sha256:78c961a2accaeb566c33f5d011534d9ddbb62a6037882485ca3ded9f25e4688d

Observation 5f7f3897-8b2c-4fc0-8bd4-2fb20471e503 · inbound

A refined Malle conjecture for Heisenberg groups cites this paper.

A refined Malle conjecture for Heisenberg groups Counting abelian number fields with restricted ramification type

Reference 13

Resolution
metadata mismatch
local_arxiv, observed 2026-07-08T05:04:31.272145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T05:03:55.710210Z digest=sha256:f5d4d544fe8b99be113f196471cb7de119e416e981961b394d0bc35aea695484

Observation 6cebec05-f9ad-4c55-bbff-f1eefe46fd8b · inbound

A refined Malle conjecture for Heisenberg groups cites this paper.

A refined Malle conjecture for Heisenberg groups Counting abelian number fields with restricted ramification type

Reference 13

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unresolved
no resolver link, observed 2026-08-02T08:20:53.959211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:20:53.959211Z digest=sha256:397a2e5f95653af6c6d23cf11c45938e39dde38592a3e26a7a0d38f6d0de2348

Observation 3c02861b-ba19-4b74-bffd-c9a83bac9ce2 · inbound

Multivariate counting of wild abelian extensions cites this paper.

Multivariate counting of wild abelian extensions Counting abelian number fields with restricted ramification type

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T15:51:24.416452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:51:24.416452Z digest=sha256:3c63a3588654fe689b82b6a0238f8247772a012d70abfff9d0938e494f349619