Pith Number

pith:TVLOV7SY

pith:2012:TVLOV7SYBMTX2TDFUFMBXHVJ4N

not attested not anchored not stored refs pending

Le syst\`eme d'Euler de Kato en famille (I)

Shanwen Wang

arxiv:1211.4256 v1 · 2012-11-18 · 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{TVLOV7SYBMTX2TDFUFMBXHVJ4N}

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	2026-05-18T03:40:27.495783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d56eafe580b277d4c65a1581b9ea9e35d994afddc404b5a53d6793cfb83a92f

Aliases

arxiv: 1211.4256 · arxiv_version: 1211.4256v1 · doi: 10.48550/arxiv.1211.4256 · pith_short_12: TVLOV7SYBMTX · pith_short_16: TVLOV7SYBMTX2TDF · pith_short_8: TVLOV7SY

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/TVLOV7SYBMTX2TDFUFMBXHVJ4N \
  | 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: 9d56eafe580b277d4c65a1581b9ea9e35d994afddc404b5a53d6793cfb83a92f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09e323427802cb6f2028bb13b870def08ef33c458e841956e0b02c941dd3ef1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-18T20:47:18Z",
    "title_canon_sha256": "89babc375dc24dff901e4345a6c7f347e39f422602ce26313f576a132768280a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4256",
    "kind": "arxiv",
    "version": 1
  }
}