Pith Number

pith:IMHZVKKY

pith:2012:IMHZVKKYX7DYPMBBUGE4U6W267

not attested not anchored not stored refs pending

The diameter of associahedra

Lionel Pournin

arxiv:1207.6296 v4 · 2012-07-26 · 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{IMHZVKKYX7DYPMBBUGE4U6W267}

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	2026-05-18T02:55:20.713644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430f9aa958bfc787b021a189ca7adaf7d66f9de661b3cc0e121de0778804bb59

Aliases

arxiv: 1207.6296 · arxiv_version: 1207.6296v4 · doi: 10.48550/arxiv.1207.6296 · pith_short_12: IMHZVKKYX7DY · pith_short_16: IMHZVKKYX7DYPMBB · pith_short_8: IMHZVKKY

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/IMHZVKKYX7DYPMBBUGE4U6W267 \
  | 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: 430f9aa958bfc787b021a189ca7adaf7d66f9de661b3cc0e121de0778804bb59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "086abd8bb2d25df96540bd5b541a5c88e6a12e898022d4bddef7971b6ac35be3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-26T15:21:15Z",
    "title_canon_sha256": "093a01c890bdb2d7c2d90e33c26d0d198ff0e080d0ac4245338c88b14a383507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6296",
    "kind": "arxiv",
    "version": 4
  }
}