Pith Number

pith:GA4YHOPN

pith:2009:GA4YHOPNKT7QKKTNTNM26IWCOP

not attested not anchored not stored refs pending

Surface projective convexe de volume fini

Ludovic Marquis

arxiv:0902.3143 v2 · 2009-02-18 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GA4YHOPNKT7QKKTNTNM26IWCOP}

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	2026-05-18T03:44:58.066698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303983b9ed54ff052a6d9b59af22c273e855eaae7e73a98f0dc08e46008716bf

Aliases

arxiv: 0902.3143 · arxiv_version: 0902.3143v2 · doi: 10.48550/arxiv.0902.3143 · pith_short_12: GA4YHOPNKT7Q · pith_short_16: GA4YHOPNKT7QKKTN · pith_short_8: GA4YHOPN

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/GA4YHOPNKT7QKKTNTNM26IWCOP \
  | 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: 303983b9ed54ff052a6d9b59af22c273e855eaae7e73a98f0dc08e46008716bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbd02149050fd68636b5a33f7f8fdc38a648347fef910600cd182910d0fe0db2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-02-18T13:54:14Z",
    "title_canon_sha256": "7ecd1929fdf70d3a7032834b245391a0c481effe660644b19d52da9805eb0dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3143",
    "kind": "arxiv",
    "version": 2
  }
}