Pith Number

pith:YJD5QOLR

pith:2025:YJD5QOLR6CTWKOBSZE72TMT7G4

not attested not anchored not stored refs pending

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra

Olivier Fouquet

arxiv:2501.07105 v1 · 2025-01-13 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJD5QOLR6CTWKOBSZE72TMT7G4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-07-05T10:00:15.259596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c247d83971f0a7653832c93fa9b27f371e247b57fee1b43889dd93991d05354f

Aliases

arxiv: 2501.07105 · arxiv_version: 2501.07105v1 · doi: 10.48550/arxiv.2501.07105 · pith_short_12: YJD5QOLR6CTW · pith_short_16: YJD5QOLR6CTWKOBS · pith_short_8: YJD5QOLR

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/YJD5QOLR6CTWKOBSZE72TMT7G4 \
  | 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: c247d83971f0a7653832c93fa9b27f371e247b57fee1b43889dd93991d05354f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06896058669d70729e807294beb1d7a960e9ef06b921426bf76b128918233a0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-13T07:38:03Z",
    "title_canon_sha256": "7a143e44b2790e2953dd044e82008ebefa180c38cb2384eeb0a60ebfe475e992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07105",
    "kind": "arxiv",
    "version": 1
  }
}