Pith Number

pith:SOZG7QQP

pith:2009:SOZG7QQPDLSHBVZ2PPLKQHEWPC

not attested not anchored not stored refs pending

On abelian birational sections

H\'el\`ene Esnault, Olivier Wittenberg

arxiv:0902.1143 v2 · 2009-02-06 · math.AG · 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{SOZG7QQPDLSHBVZ2PPLKQHEWPC}

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	2026-05-18T01:18:15.592955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b26fc20f1ae470d73a7bd6a81c9678bc038a808e81e4c8c3249d3cad3a13fe

Aliases

arxiv: 0902.1143 · arxiv_version: 0902.1143v2 · doi: 10.48550/arxiv.0902.1143 · pith_short_12: SOZG7QQPDLSH · pith_short_16: SOZG7QQPDLSHBVZ2 · pith_short_8: SOZG7QQP

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/SOZG7QQPDLSHBVZ2PPLKQHEWPC \
  | 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: 93b26fc20f1ae470d73a7bd6a81c9678bc038a808e81e4c8c3249d3cad3a13fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "905bd06af62b32b5e7c945f311b02059e3238ecdbbf1042563881a4b6fde833c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-06T17:13:06Z",
    "title_canon_sha256": "14598e953101f6ffa19433196c20a83f9dd58302157aa59b3449ec064da326fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1143",
    "kind": "arxiv",
    "version": 2
  }
}