Pith Number

pith:3XTKMA64

pith:2013:3XTKMA64HX5WCEHIA2GUDE2CHW

not attested not anchored not stored refs pending

A Quantitative Steinitz Theorem for Plane Triangulations

Igor Pak, Stedman Wilson

arxiv:1311.0558 v1 · 2013-11-04 · math.CO · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XTKMA64HX5WCEHIA2GUDE2CHW}

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	2026-05-18T03:08:05.476752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde6a603dc3dfb6110e8068d4193423da783a54d049b0fbc05d261c5f3c38814

Aliases

arxiv: 1311.0558 · arxiv_version: 1311.0558v1 · doi: 10.48550/arxiv.1311.0558 · pith_short_12: 3XTKMA64HX5W · pith_short_16: 3XTKMA64HX5WCEHI · pith_short_8: 3XTKMA64

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/3XTKMA64HX5WCEHIA2GUDE2CHW \
  | 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: dde6a603dc3dfb6110e8068d4193423da783a54d049b0fbc05d261c5f3c38814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7bc776333010fc7ba6b9e36398a8fb80eb4f74c08c8891384ed2c2ec901b0b0",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-04T01:15:16Z",
    "title_canon_sha256": "8f22b864fbeab81f691189077ce6c0ba4e52fd45db41ead71e40a3408d85d20f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0558",
    "kind": "arxiv",
    "version": 1
  }
}