Pith Number

pith:ZODPKDWH

pith:2011:ZODPKDWHXZ3TLXX7LFESWJXA7Z

not attested not anchored not stored refs pending

Triangulations of the sphere, bitrades and abelian groups

Simon R. Blackburn, Thomas A. McCourt

arxiv:1112.5423 v3 · 2011-12-22 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZODPKDWHXZ3TLXX7LFESWJXA7Z}

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	2026-05-18T03:17:25.080084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb86f50ec7be7735deff59492b26e0fe7d379319913084dd9941e86ec846d6fa

Aliases

arxiv: 1112.5423 · arxiv_version: 1112.5423v3 · doi: 10.48550/arxiv.1112.5423 · pith_short_12: ZODPKDWHXZ3T · pith_short_16: ZODPKDWHXZ3TLXX7 · pith_short_8: ZODPKDWH

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/ZODPKDWHXZ3TLXX7LFESWJXA7Z \
  | 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: cb86f50ec7be7735deff59492b26e0fe7d379319913084dd9941e86ec846d6fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34b14e29b4e040aadeb6f0c568ebd1642f97fc071ed8aa4868ddd8b4fcf2780f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-22T19:26:23Z",
    "title_canon_sha256": "62076ae3721e5b09d3c6893f364f34435146f6b68749f6b3e3fd0be193ac3055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5423",
    "kind": "arxiv",
    "version": 3
  }
}