Pith Number

pith:E2ZHBUH7

pith:2013:E2ZHBUH7YDXNK3WFXWCLXYAZXR

not attested not anchored not stored refs pending

Descente galoisienne sur le second groupe de Chow : mise au point et applications

Jean-Louis Colliot-Th\'el\`ene

arxiv:1302.3215 v5 · 2013-02-13 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2ZHBUH7YDXNK3WFXWCLXYAZXR}

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	2026-05-18T01:59:59.157192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b270d0ffc0eed56ec5bd84bbe019bc431e2c9a0b94718cd2aa4ebe2595b129

Aliases

arxiv: 1302.3215 · arxiv_version: 1302.3215v5 · doi: 10.48550/arxiv.1302.3215 · pith_short_12: E2ZHBUH7YDXN · pith_short_16: E2ZHBUH7YDXNK3WF · pith_short_8: E2ZHBUH7

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/E2ZHBUH7YDXNK3WFXWCLXYAZXR \
  | 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: 26b270d0ffc0eed56ec5bd84bbe019bc431e2c9a0b94718cd2aa4ebe2595b129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097cdbf8d590f67fd0b8203f6887900345ae5acb4f0b204fb49827c5964b09ad",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-13T20:54:49Z",
    "title_canon_sha256": "f374e5060d6937efb46df953bbf47aead8fe983205cf21dc7d95ac5e0b8e6669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3215",
    "kind": "arxiv",
    "version": 5
  }
}