Pith Number

pith:MI32TG4P

pith:2012:MI32TG4P2IXZHSOULTK75LF73R

not attested not anchored not stored refs pending

The dual tree of a recursive triangulation of the disk

Henning Sulzbach, Nicolas Broutin

arxiv:1211.1343 v4 · 2012-11-06 · math.PR · cs.DM · 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{MI32TG4P2IXZHSOULTK75LF73R}

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	2026-05-18T02:22:30.248901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6237a99b8fd22f93c9d45cd5feacbfdc7c0e97a5ca94dd629f86b8b920eba2a1

Aliases

arxiv: 1211.1343 · arxiv_version: 1211.1343v4 · doi: 10.48550/arxiv.1211.1343 · pith_short_12: MI32TG4P2IXZ · pith_short_16: MI32TG4P2IXZHSOU · pith_short_8: MI32TG4P

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/MI32TG4P2IXZHSOULTK75LF73R \
  | 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: 6237a99b8fd22f93c9d45cd5feacbfdc7c0e97a5ca94dd629f86b8b920eba2a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ea4dbb1e410e37607f5fe4500359ace0ca0bd2b4c111f7cfc6637f9bcd3a30",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-06T18:31:12Z",
    "title_canon_sha256": "69ca7f0e34a076c509c5bc1fd5a1ac21612e359b800587a4abc7856456125cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1343",
    "kind": "arxiv",
    "version": 4
  }
}