Pith Number

pith:227UCYIT

pith:2011:227UCYITZGNE7CKUNQN6FRMGOR

not attested not anchored not stored refs pending

Les espaces de Berkovich sont ang\'eliques

J\'er\^ome Poineau

arxiv:1105.0250 v5 · 2011-05-02 · 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{227UCYITZGNE7CKUNQN6FRMGOR}

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	2026-05-18T03:38:33.206664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bf416113c99a4f89546c1be2c586746462029367d5bfab52120d8d1f1366c6

Aliases

arxiv: 1105.0250 · arxiv_version: 1105.0250v5 · doi: 10.48550/arxiv.1105.0250 · pith_short_12: 227UCYITZGNE · pith_short_16: 227UCYITZGNE7CKU · pith_short_8: 227UCYIT

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/227UCYITZGNE7CKUNQN6FRMGOR \
  | 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: d6bf416113c99a4f89546c1be2c586746462029367d5bfab52120d8d1f1366c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e91af1218c7335aea2107c1dae86d377a41558341b8680e4d02fe7f44507eee",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-02T07:05:28Z",
    "title_canon_sha256": "607b44d6c0454472219e55159a8b8d15caa2d7544e45bffb2f4547af0bbda797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0250",
    "kind": "arxiv",
    "version": 5
  }
}