Pith Number

pith:GIBHHBVI

pith:2010:GIBHHBVIXRMU2VFPYUDTR5FVAA

not attested not anchored not stored refs pending

Z\'ero-cycles sur les fibrations au-dessus d'une courbe de genre quelconque

Olivier Wittenberg

arxiv:1010.1883 v5 · 2010-10-10 · 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{GIBHHBVIXRMU2VFPYUDTR5FVAA}

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	2026-05-18T01:18:15.493620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32027386a8bc594d54afc50738f4b5000c043efef1e418de71f4edf88b613164

Aliases

arxiv: 1010.1883 · arxiv_version: 1010.1883v5 · doi: 10.48550/arxiv.1010.1883 · pith_short_12: GIBHHBVIXRMU · pith_short_16: GIBHHBVIXRMU2VFP · pith_short_8: GIBHHBVI

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/GIBHHBVIXRMU2VFPYUDTR5FVAA \
  | 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: 32027386a8bc594d54afc50738f4b5000c043efef1e418de71f4edf88b613164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44693bdc675d2aac5965f4853d75836d284f1ab5cbf1f99e0a13009f7fa16b1d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-10T00:02:53Z",
    "title_canon_sha256": "b3bee879e917221836420bf171212dcecbcce0239f2e3378ae77b4be82fbd618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1883",
    "kind": "arxiv",
    "version": 5
  }
}