Pith Number

pith:AZPT47A2

pith:2013:AZPT47A2PRVHITJHLT2NSBWG7J

not attested not anchored not stored refs pending

Constraints on the fundamental topological parameters of spatial tessellations

Richard Cowan, Viola Weiss

arxiv:1306.5862 v1 · 2013-06-25 · 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{AZPT47A2PRVHITJHLT2NSBWG7J}

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	2026-05-18T03:19:58.317114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

065f3e7c1a7c6a744d275cf4d906c6fa693e867eec10a5a68c35bae864535b8b

Aliases

arxiv: 1306.5862 · arxiv_version: 1306.5862v1 · doi: 10.48550/arxiv.1306.5862 · pith_short_12: AZPT47A2PRVH · pith_short_16: AZPT47A2PRVHITJH · pith_short_8: AZPT47A2

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/AZPT47A2PRVHITJHLT2NSBWG7J \
  | 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: 065f3e7c1a7c6a744d275cf4d906c6fa693e867eec10a5a68c35bae864535b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e4593269bd04b31e14e6c737e9de95fd124298f68b1b778a70663524784cf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-25T07:09:02Z",
    "title_canon_sha256": "f076abd059e5f566731357407d644dee160618ae4710d7f3b2f5de2d410ff14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5862",
    "kind": "arxiv",
    "version": 1
  }
}