Pith Number

pith:J5CZH6DP

pith:2012:J5CZH6DPEFALGQOWZWX7GLXNM6

not attested not anchored not stored refs pending

Trees of nuclei and bounds on the number of triangulations of the 3-ball

Jean-Pierre Eckmann, Maher Younan, Pierre Collet

arxiv:1204.6161 v1 · 2012-04-27 · math-ph · math.CO · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5CZH6DPEFALGQOWZWX7GLXNM6}

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	2026-05-18T03:56:46.855729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4593f86f2140b341d6cdaff32eed67994b3071543094ac16ab69235208d006

Aliases

arxiv: 1204.6161 · arxiv_version: 1204.6161v1 · doi: 10.48550/arxiv.1204.6161 · pith_short_12: J5CZH6DPEFAL · pith_short_16: J5CZH6DPEFALGQOW · pith_short_8: J5CZH6DP

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/J5CZH6DPEFALGQOWZWX7GLXNM6 \
  | 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: 4f4593f86f2140b341d6cdaff32eed67994b3071543094ac16ab69235208d006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9efcf07269ec7502ceb996337cb293e297d32614386da8b1e50347de2f3fb102",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-27T10:06:23Z",
    "title_canon_sha256": "d8e068e775c27baf8acb213a6896520ac1d9bf2d7f8ee847bf409f096b223c26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6161",
    "kind": "arxiv",
    "version": 1
  }
}