Pith Number

pith:V53JI2G2

pith:2020:V53JI2G2QFBC56HUFK6T43WN7R

not attested not anchored not stored refs pending

Automorphy of mod 2 Galois representations associated to the quintic Dwork family and reciprocity of some quintic trinomials

Nobuo Tsuzuki, Takuya Yamauchi

arxiv:2008.09852 v4 · 2020-08-22 · math.NT · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V53JI2G2QFBC56HUFK6T43WN7R}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

The residual monodromy for the Dwork family in even characteristic and its applications to Galois representations

Receipt and verification

First computed	2026-07-05T05:01:35.071831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af769468da81422ef8f42abd3e6ecdfc57a91afd80dfabf7f10dfe3a3b56b7aa

Aliases

arxiv: 2008.09852 · arxiv_version: 2008.09852v4 · doi: 10.48550/arxiv.2008.09852 · pith_short_12: V53JI2G2QFBC · pith_short_16: V53JI2G2QFBC56HU · pith_short_8: V53JI2G2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/V53JI2G2QFBC56HUFK6T43WN7R \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: af769468da81422ef8f42abd3e6ecdfc57a91afd80dfabf7f10dfe3a3b56b7aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91602d5597d7d8fa64e63590797dda3247e729f1c2179e3d39d5500930f2adc2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-08-22T15:14:27Z",
    "title_canon_sha256": "f4dd6355e6a86f80a1abd298fd8a3e3ed616eda5bb15c85a5f241dd9f9e06559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.09852",
    "kind": "arxiv",
    "version": 4
  }
}