Pith Number

pith:3II7ZIAP

pith:2012:3II7ZIAPXGO3JOXXNXKOWP7BM5

not attested not anchored not stored refs pending

Formes modulaires modulo 2 : structure de l'alg\`ebre de Hecke

Jean-Louis Nicolas, Jean-Pierre Serre

arxiv:1204.1039 v1 · 2012-04-04 · 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{3II7ZIAPXGO3JOXXNXKOWP7BM5}

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	2026-05-18T03:58:37.223159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da11fca00fb99db4baf76dd4eb3fe16765126210a02c4582a042947e5dec334d

Aliases

arxiv: 1204.1039 · arxiv_version: 1204.1039v1 · doi: 10.48550/arxiv.1204.1039 · pith_short_12: 3II7ZIAPXGO3 · pith_short_16: 3II7ZIAPXGO3JOXX · pith_short_8: 3II7ZIAP

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/3II7ZIAPXGO3JOXXNXKOWP7BM5 \
  | 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: da11fca00fb99db4baf76dd4eb3fe16765126210a02c4582a042947e5dec334d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb2e26ed62a844d2f3c2b3d4ff353d555d2709629cddcf1c9f3491a27e6cf76c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-04T19:11:14Z",
    "title_canon_sha256": "3a1fe06f6230ad4899a338986b8331de008506be6dfac7d99dcf810b91397a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1039",
    "kind": "arxiv",
    "version": 1
  }
}