Pith Number

pith:YWFWAZPW

pith:2011:YWFWAZPW7DJETIZAAFK5KWHMXD

not attested not anchored not stored refs pending

Geometric protean graphs

Anthony Bonato, Jeannette Janssen, Pawel Pralat

arxiv:1111.0207 v1 · 2011-10-31 · physics.soc-ph · cs.SI · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWFWAZPW7DJETIZAAFK5KWHMXD}

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	2026-05-18T03:47:01.336502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c58b6065f6f8d249a3200155d558ecb8d8658a087c6873cfcb2aa81ae49b3cf1

Aliases

arxiv: 1111.0207 · arxiv_version: 1111.0207v1 · doi: 10.48550/arxiv.1111.0207 · pith_short_12: YWFWAZPW7DJE · pith_short_16: YWFWAZPW7DJETIZA · pith_short_8: YWFWAZPW

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/YWFWAZPW7DJETIZAAFK5KWHMXD \
  | 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: c58b6065f6f8d249a3200155d558ecb8d8658a087c6873cfcb2aa81ae49b3cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793cc475e40dbc87455cec3e5491d14248423deeb0fbb981a207237245138715",
    "cross_cats_sorted": [
      "cs.SI",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-10-31T14:22:30Z",
    "title_canon_sha256": "ad1acb9c990061b3006dbef3642c9d2bd7b5c1aaf465662118b986dca1273315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0207",
    "kind": "arxiv",
    "version": 1
  }
}