Pith Number

pith:DKS4MX7B

pith:2011:DKS4MX7BG3ANXRCB5VGBUA3V5L

not attested not anchored not stored refs pending

A Penrose polynomial for embedded graphs

Iain Moffatt, Joanna A. Ellis-Monaghan

arxiv:1106.5279 v3 · 2011-06-26 · 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{DKS4MX7BG3ANXRCB5VGBUA3V5L}

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	2026-05-18T03:07:04.080806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aa5c65fe136c0dbc441ed4c1a0375ead95fa048dcd174f38ff3e55b2b4d9bf1

Aliases

arxiv: 1106.5279 · arxiv_version: 1106.5279v3 · doi: 10.48550/arxiv.1106.5279 · pith_short_12: DKS4MX7BG3AN · pith_short_16: DKS4MX7BG3ANXRCB · pith_short_8: DKS4MX7B

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/DKS4MX7BG3ANXRCB5VGBUA3V5L \
  | 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: 1aa5c65fe136c0dbc441ed4c1a0375ead95fa048dcd174f38ff3e55b2b4d9bf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3819a03437a28e869028f9ad70ff05a885d86e6204a22e856188413f73f82f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-26T22:53:19Z",
    "title_canon_sha256": "a593036cf7289828b19252d6b9f330b71ad526bf9ac043ec8fa6d8c609dcd932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5279",
    "kind": "arxiv",
    "version": 3
  }
}