Pith Number

pith:X5ZLKY2Y

pith:2012:X5ZLKY2Y5QIO6HR3ZLIOBXD3NG

not attested not anchored not stored refs pending

Le flot g\'eod\'esique des quotients geometriquement finis des g\'eom\'etries de Hilbert

Ludovic Marquis, Micka\"el Crampon

arxiv:1204.5005 v2 · 2012-04-23 · math.DS · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5ZLKY2Y5QIO6HR3ZLIOBXD3NG}

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	2026-05-18T03:32:58.984676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf72b56358ec10ef1e3bcad0e0dc7b69a8ca3d997354a7781b6a6520dfa68e19

Aliases

arxiv: 1204.5005 · arxiv_version: 1204.5005v2 · doi: 10.48550/arxiv.1204.5005 · pith_short_12: X5ZLKY2Y5QIO · pith_short_16: X5ZLKY2Y5QIO6HR3 · pith_short_8: X5ZLKY2Y

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/X5ZLKY2Y5QIO6HR3ZLIOBXD3NG \
  | 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: bf72b56358ec10ef1e3bcad0e0dc7b69a8ca3d997354a7781b6a6520dfa68e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec9c1507a4a91c1714f9e2ce8f56cbd69ff68154e5b997bf5014bff7d0a39521",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-23T08:57:32Z",
    "title_canon_sha256": "9739dd5fd343b5e4e0850b772e3b0624d67118e371f4b40a49fd0e08fde23f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5005",
    "kind": "arxiv",
    "version": 2
  }
}