Pith Number

pith:CMDRQFP4

pith:2014:CMDRQFP466JGCKO747ARRTEEIZ

not attested not anchored not stored refs pending

From Funk to Hilbert Geometry

Athanase Papadopoulos (IRMA), Marc Troyanov

arxiv:1406.6983 v1 · 2014-06-26 · math.MG · 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{CMDRQFP466JGCKO747ARRTEEIZ}

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	2026-05-18T02:48:55.349683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13071815fcf7926129dfe7c118cc844675a5d59e6556bb148d7f92c6715f1ea7

Aliases

arxiv: 1406.6983 · arxiv_version: 1406.6983v1 · doi: 10.48550/arxiv.1406.6983 · pith_short_12: CMDRQFP466JG · pith_short_16: CMDRQFP466JGCKO7 · pith_short_8: CMDRQFP4

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/CMDRQFP466JGCKO747ARRTEEIZ \
  | 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: 13071815fcf7926129dfe7c118cc844675a5d59e6556bb148d7f92c6715f1ea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab36d2a167f5372b8f52c5b874380e7d5dc64f325e2f2e533f6295759daadba7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-06-26T18:54:41Z",
    "title_canon_sha256": "833efa21a17c65d2c4bfc03cc91425002d85f2d06392ab742401b7a429f9be42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6983",
    "kind": "arxiv",
    "version": 1
  }
}