Pith Number

pith:36YOG6TN

pith:2012:36YOG6TN6DTRUD7S4MSPK5M22O

not attested not anchored not stored refs pending

On partial barycentric subdivision

Sarfraz Ahmad, Volkmar Welker

arxiv:1209.2581 v1 · 2012-09-12 · 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{36YOG6TN6DTRUD7S4MSPK5M22O}

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	2026-05-18T03:45:42.707482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfb0e37a6df0e71a0ff2e324f5759ad3a1066dd87f20ffd1f24839b8b2d0c843

Aliases

arxiv: 1209.2581 · arxiv_version: 1209.2581v1 · doi: 10.48550/arxiv.1209.2581 · pith_short_12: 36YOG6TN6DTR · pith_short_16: 36YOG6TN6DTRUD7S · pith_short_8: 36YOG6TN

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/36YOG6TN6DTRUD7S4MSPK5M22O \
  | 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: dfb0e37a6df0e71a0ff2e324f5759ad3a1066dd87f20ffd1f24839b8b2d0c843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e27ce79e61d87f1bbca52b73a32e2a7aa0e47e0694fc2ac9ddb0247c8d0ecfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-12T12:11:58Z",
    "title_canon_sha256": "547c00b70b65f69a2188dac3b829bd28702333d744a11ded045b39ed095bf93d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2581",
    "kind": "arxiv",
    "version": 1
  }
}