Pith Number

pith:UFV6YVSO

pith:2015:UFV6YVSOICX7LUR2ASSZEKFLA3

not attested not anchored not stored refs pending

Critical surface of the hexagonal polygon model

Geoffrey R. Grimmett, Zhongyang Li

arxiv:1508.07492 v2 · 2015-08-29 · math-ph · math.CO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFV6YVSOICX7LUR2ASSZEKFLA3}

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	2026-05-18T01:16:49.109153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a16bec564e40aff5d23a04a59228ab06c2ac4e7c05291caf1c127e9008648880

Aliases

arxiv: 1508.07492 · arxiv_version: 1508.07492v2 · doi: 10.48550/arxiv.1508.07492 · pith_short_12: UFV6YVSOICX7 · pith_short_16: UFV6YVSOICX7LUR2 · pith_short_8: UFV6YVSO

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/UFV6YVSOICX7LUR2ASSZEKFLA3 \
  | 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: a16bec564e40aff5d23a04a59228ab06c2ac4e7c05291caf1c127e9008648880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de822e83a033aa39a7d950277b7868933b335d80870d80818d8b1ac1c81d6f98",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-29T19:08:30Z",
    "title_canon_sha256": "0061cc43f1ebd47cee885386667d36106c0afcdc91f9e2daf4c86cf5eb6a177c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07492",
    "kind": "arxiv",
    "version": 2
  }
}