Pith Number

pith:33OUODQP

pith:2022:33OUODQPJ4O6SDHKLPZYX5QLPC

not attested not anchored not stored refs pending

The Tamagawa number conjecture and Kolyvagin's conjecture for motives of modular forms

Matteo Longo, Stefano Vigni

arxiv:2211.04907 v3 · 2022-11-09 · math.NT · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33OUODQPJ4O6SDHKLPZYX5QLPC}

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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

Kolyvagin's conjecture for modular forms

Receipt and verification

First computed	2026-07-05T05:33:20.716057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dedd470e0f4f1de90cea5bf38bf60b788386c54b8c7353b33fab67e136d36179

Aliases

arxiv: 2211.04907 · arxiv_version: 2211.04907v3 · doi: 10.48550/arxiv.2211.04907 · pith_short_12: 33OUODQPJ4O6 · pith_short_16: 33OUODQPJ4O6SDHK · pith_short_8: 33OUODQP

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/33OUODQPJ4O6SDHKLPZYX5QLPC \
  | 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: dedd470e0f4f1de90cea5bf38bf60b788386c54b8c7353b33fab67e136d36179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e56ade45a32dc75aacc48aa7f2a39c1364e9f8c2646fa7f86e8e5aaafd69a3a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-11-09T14:14:04Z",
    "title_canon_sha256": "693a0b21bd851a4e735efdc22eea1dd44dbef778c0078c67ef6f797546becec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.04907",
    "kind": "arxiv",
    "version": 3
  }
}