Pith. sign in

Paper Citation Record · LEDGER

Discriminants of Fields Generated by Polynomials of Given Height

As of 16 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:1909.00135.

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

pith.paper-citation-record.v1
1909.00135 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T06:26:23.956757Z

measured 35 of 35 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-24T09:13:39.455875Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T09:14:16.256495Z

Reference resolution

34 of 34 outbound references displayed

  • verified exact2
  • verified fuzzy18
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 10d54ee5-906c-4c49-831a-a7dbfc091f3f · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:26:24.356316Z

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=2026-08-14T06:26:23.834683Z digest=sha256:7bb5105509e8a5fd7e10d3e817088e6a52da477a5bea51afac388f54e9a627a5

Observation a4cff8ea-a569-4b34-948a-fec2038865eb · outbound

This paper cites Belabas, M.

Discriminants of Fields Generated by Polynomials of Given Height Belabas, M

Reference 2

Resolution
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raw_fallback, observed 2026-08-14T06:26:24.345165Z

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=2026-08-14T06:26:23.839706Z digest=sha256:d1a09b88dc230005b8eff1c4010b9b6372e079ad6db0b6a4d7ec828229a9848f

Observation c774f5db-8a6a-473d-a68c-cf40a423ae34 · outbound

This paper cites Squarefree values of polynomial discriminants I.

Discriminants of Fields Generated by Polynomials of Given Height Squarefree values of polynomial discriminants I

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T06:26:23.843879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T06:26:23.843879Z digest=sha256:e5120bfdc3b21936b8f5473e79da550640064cfcea5848f56952e1bc3435bd34

Observation b17104c6-4c89-4f83-b652-b84a3828df40 · outbound

This paper cites Bombieri and J.

Discriminants of Fields Generated by Polynomials of Given Height Bombieri and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.334193Z

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=2026-08-14T06:26:23.848262Z digest=sha256:c21f4bf34f026cb15e4fe009f2156b0d12dafb88ff7a83c679968066e78ebb8a

Observation 00a5f087-2834-4d59-9f9c-7e0f9da6d8c5 · outbound

This paper cites Carmon and Z.

Discriminants of Fields Generated by Polynomials of Given Height Carmon and Z

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.322719Z

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=2026-08-14T06:26:23.852157Z digest=sha256:5bf242ffcf2e52ae6e5d86b9baf78a45366ec3f140d8fd0ff006f2ca296ed9da

Observation 37375ee2-90eb-4149-95a5-acc9c5d17c91 · outbound

This paper cites Chela, ‘Reducible polynomials’, J.

Discriminants of Fields Generated by Polynomials of Given Height Chela, ‘Reducible polynomials’, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.311003Z

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=2026-08-14T06:26:23.855910Z digest=sha256:f06ec1c9faf82892184185d19dc49363ea5b54e6049c9337e7a31d7c3f6dc36b

Observation 14d6f356-55c7-4b5a-a98e-0635a04bb2e3 · outbound

This paper cites Dalen, ‘On a theorem of Stickelberger’, Math.

Discriminants of Fields Generated by Polynomials of Given Height Dalen, ‘On a theorem of Stickelberger’, Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.300119Z

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=2026-08-14T06:26:23.859932Z digest=sha256:9b1b32e67e3a10e3aef073da63f886ae21e031fd663fc85357218d303d8c49ee

Observation e51d55a9-9eed-4cb3-83ea-bfa677028b20 · outbound

This paper cites Dietmann, ‘On the distribution of Galois groups’, Mathematika, 58 (2012), 35–44.

Discriminants of Fields Generated by Polynomials of Given Height Dietmann, ‘On the distribution of Galois groups’, Mathematika, 58 (2012), 35–44

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.289725Z

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=2026-08-14T06:26:23.863345Z digest=sha256:ac64c97e61f09429838493555639a7cdb0b864c31b62ee43666ccbb7e2e276f1

Observation aba1f0a3-8124-40dd-8250-f0fdd5d1b9f0 · outbound

This paper cites Dietmann, ‘Probabilistic Galois theory’, Bull.

Discriminants of Fields Generated by Polynomials of Given Height Dietmann, ‘Probabilistic Galois theory’, Bull

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.279230Z

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=2026-08-14T06:26:23.866786Z digest=sha256:4ed54d44479c5d65f1a0c7b88e995f38255bf0ca1a019c9937a9ac3a1813d2f4

Observation 888f3f72-eaf3-4d3e-bd06-83f8a4133edc · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:26:24.269110Z

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=2026-08-14T06:26:23.870355Z digest=sha256:b86bc9492a3e38e51e455764ee1fd8b1aa82fe0b088a0d204a90d4daacd545a3

Observation cfeed26e-b03b-44f5-9100-d5e4a4ff8c1c · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:26:24.258470Z

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=2026-08-14T06:26:23.873878Z digest=sha256:5efaac2de930faa1240d94d803566bad7419f46717130a307b106289ce8f94d6

Observation 3255e713-ba61-4f42-b0fc-85253a5eae2f · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:26:24.247575Z

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=2026-08-14T06:26:23.877528Z digest=sha256:67a1bc7552023bd36f7bae5a33f065aefaed98cb7cd51f3cccca8566c4c8b0f4

Observation 2d269cd4-7fd5-4960-a4c4-84f8c1e9a0a5 · outbound

This paper cites Hering, ‘Seltenheit der Gleichungen mit Affekt bei linearem Para meter’, Math.

Discriminants of Fields Generated by Polynomials of Given Height Hering, ‘Seltenheit der Gleichungen mit Affekt bei linearem Para meter’, Math

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.236659Z

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=2026-08-14T06:26:23.880880Z digest=sha256:e7ca97774b8959dc4ef576cde542ebeac13059aa355596a842d8becff4072fef

Observation 9ad200e8-001c-41db-85e2-a18678487e69 · outbound

This paper cites Hering, ‘ ¨Uber Koeffizientenbeschr¨ ankungen affektloser Gleichungen’, Math.

Discriminants of Fields Generated by Polynomials of Given Height Hering, ‘ ¨Uber Koeffizientenbeschr¨ ankungen affektloser Gleichungen’, Math

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.226477Z

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=2026-08-14T06:26:23.884460Z digest=sha256:189ede84be04677b5d77cfb01c7c3e2e72345d74639f5c83efa0391327dea16a

Observation 30a452cf-5d52-4a66-9c50-e4d7280b9ebc · outbound

This paper cites Monogenic fields arising from trinomials.

Discriminants of Fields Generated by Polynomials of Given Height Monogenic fields arising from trinomials

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-14T06:26:24.020225Z

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=2026-08-14T06:26:23.888211Z digest=sha256:184f7b05fd3fd29cffa79e34835fedb73b09c3d8ba2e79eac87842f8cd0c3825

Observation 9181eb2d-db24-4e4d-81d4-ead6573d1a5a · outbound

This paper cites Iwaniec and E.

Discriminants of Fields Generated by Polynomials of Given Height Iwaniec and E

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.215780Z

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=2026-08-14T06:26:23.892103Z digest=sha256:b484def4643287409db793773f3cdb81365dc5928ed62f0fcbb376fe9f2e4563

Observation 0fdde6b0-c4d7-4430-b7f3-ed7faeb12c8d · outbound

This paper cites Monogenic trinomials with non-squarefree discriminant.

Discriminants of Fields Generated by Polynomials of Given Height Monogenic trinomials with non-squarefree discriminant

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T06:26:24.004506Z

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=2026-08-14T06:26:23.895708Z digest=sha256:95c7e406f3068b6b59c30f72d2051354bd4e21a08073fc3c95eaf4b31cf621d2

Observation 51c253a8-5ba1-4346-b14e-4a63c6e0d0aa · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 18

Resolution
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raw_fallback, observed 2026-08-14T06:26:24.205175Z

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=2026-08-14T06:26:23.899542Z digest=sha256:ca8bd301784de42b5f3da90b41267bc81e231e81a5117c0303c76b3f548b5a67

Observation c27aea9b-46e9-4efa-874a-ff97c0da6283 · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:26:24.194066Z

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=2026-08-14T06:26:23.902988Z digest=sha256:bb8fde981b75afd81e2bc74332d28f43e5b5d0262001cddeafb91cdba6b75d4e

Observation 3439f573-030f-4c99-a670-7b8516d4212b · outbound

This paper cites Lang, Algebraic number theory , Springer, Berlin, 1970.

Discriminants of Fields Generated by Polynomials of Given Height Lang, Algebraic number theory , Springer, Berlin, 1970

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.183252Z

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=2026-08-14T06:26:23.906672Z digest=sha256:ad356eee782530a797fd66afdd65ccfd34fe50c1eb841500bb628939651fd236

Observation bc8955c5-0470-40f5-82c6-9c42f2e73092 · outbound

This paper cites Larson and L.

Discriminants of Fields Generated by Polynomials of Given Height Larson and L

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.172774Z

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=2026-08-14T06:26:23.910142Z digest=sha256:2b2c03f60adf6cabcc00ad43e32fe9bddc5c2f275cce50fa55108f5ec46eee85

Observation 9abe6e7c-ca03-4764-8ce1-c0094412a291 · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 22

Resolution
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raw_fallback, observed 2026-08-14T06:26:24.162445Z

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=2026-08-14T06:26:23.913727Z digest=sha256:085e4fd337ad08c4eb61833776105e28c3d8a65b0012dfa965a3f777a8504b3c

Observation b6ea0a48-44a7-4329-9957-e1231f97c6b9 · outbound

This paper cites Mukhopadhyay, M.

Discriminants of Fields Generated by Polynomials of Given Height Mukhopadhyay, M

Reference 23

Resolution
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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=2026-08-14T06:26:23.917488Z digest=sha256:56ab0aa258beb39b0f8c7306f6fc3505fc42ba2dc05ebe3ccf624b0ed62d00e8

Observation 0293bf5e-2703-4429-8de9-1b179c6fd528 · outbound

This paper cites Otake and T.

Discriminants of Fields Generated by Polynomials of Given Height Otake and T

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.141924Z

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=2026-08-14T06:26:23.921227Z digest=sha256:f9b620d33d956b4cf15192f7810f6dba3e277b9404d0d295835754f14fdd4452

Observation d75e191e-bf23-4170-92af-4a9566f5a6c5 · outbound

This paper cites Poonen, ‘Squarefree values of multivariable polynomials’, Duke Math.

Discriminants of Fields Generated by Polynomials of Given Height Poonen, ‘Squarefree values of multivariable polynomials’, Duke Math

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.131634Z

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=2026-08-14T06:26:23.924593Z digest=sha256:e60b191e90c664fb7860be5c1b9403c334b3df99f076e08fec30bb4b04b54677

Observation c20e2b93-fd01-4f6b-bc42-0f1a4dbcd5d7 · outbound

This paper cites Rosen, Number theory in function fields , Springer, Berlin, 2002.

Discriminants of Fields Generated by Polynomials of Given Height Rosen, Number theory in function fields , Springer, Berlin, 2002

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.121245Z

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=2026-08-14T06:26:23.928138Z digest=sha256:703aab3a75eb567ca999eadd2ed08bd9be528b52c587741c936cf82c3608bf9c

Observation ff5224c0-4d30-4383-8e4a-e86a97fe53ca · outbound

This paper cites Salberger, P.

Discriminants of Fields Generated by Polynomials of Given Height Salberger, P

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.110548Z

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=2026-08-14T06:26:23.931608Z digest=sha256:ea2405a19110a4cee9268cbd2374d49146d5261b598505b7e1e2a0936ff693dd

Observation d22c5c21-8256-411b-919f-7ff67cf4b9f2 · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:26:24.099664Z

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=2026-08-14T06:26:23.935240Z digest=sha256:2caec42ad1b4488b7f119c2694d165c5162489fb3aff340b22e2eb33f3dfbe5d

Observation 20ef8ae0-74b5-45a3-a240-eba970b4314e · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:26:24.088242Z

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=2026-08-14T06:26:23.938664Z digest=sha256:515ffd7f7cf7ec43a8217ce43566e363bafc4be292bd2cf13f685413edada1a9

Observation 3611f50e-8eb5-4f32-b831-3615118a5626 · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:26:24.077428Z

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=2026-08-14T06:26:23.942203Z digest=sha256:03c4b46acd5dd9f1087ab92955a51a509ec208fb4c16a6a7e878e57537d3fa44

Observation b15f7962-a9c4-4c36-b4a3-f2c8ceec51ca · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:26:24.066167Z

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=2026-08-14T06:26:23.945819Z digest=sha256:367706b7fe3444717bcbb9f11554b0ea185d1c34570cbf1bdbcb180cffa10a6a

Observation c57a3203-dcda-453b-b20b-733c29607fe4 · outbound

This paper cites Stickelberger, ‘ ¨Uber eine neue Eigenschaft der Diskriminanten algebrais- cher Zahlk¨ orper’,Verh.

Discriminants of Fields Generated by Polynomials of Given Height Stickelberger, ‘ ¨Uber eine neue Eigenschaft der Diskriminanten algebrais- cher Zahlk¨ orper’,Verh

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T06:26:24.054090Z

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=2026-08-14T06:26:23.949379Z digest=sha256:cc84e87ae695bb6722bcafa789c34edf07c730e049f5911cf690b3aface837be

Observation 50abcf3e-6610-4f99-9098-19e32376db0e · outbound

This paper cites an unresolved cited work.

Discriminants of Fields Generated by Polynomials of Given Height Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T06:26:24.041999Z

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=2026-08-14T06:26:23.953102Z digest=sha256:7f8104562b15606959db6e3db93f539c0995a1faaa916ddbc6fb2c9b4fe85ee7

Observation bf59058e-9427-4c0d-9ca5-51ab1559e245 · outbound

This paper cites Hilbert's irreducibility theorem and the larger sieve.

Discriminants of Fields Generated by Polynomials of Given Height Hilbert's irreducibility theorem and the larger sieve

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-14T06:26:23.956757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T06:26:23.956757Z digest=sha256:d69cab8c7d3df7b59503955da7c6ac4dbe8c73fdbf8a7b728548c4a69ead8721

Pith citing papers

Observation a1d63d25-29f6-4cef-b1e3-519dbac7d913 · inbound

Enumerative Galois theory for number fields cites this paper.

Enumerative Galois theory for number fields Discriminants of Fields Generated by Polynomials of Given Height

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-05-24T09:14:16.259188Z

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=2026-05-24T09:13:39.455875Z digest=sha256:80ab010fb589ed8c186d8a0090784f93dc74a4ad9b2c884476ce4522ddd7e08c