Pith Number

pith:HUTMW3OC

pith:2016:HUTMW3OCILD4JMFEYDPK7ESAO5

not attested not anchored not stored refs pending

A Tutte polynomial for maps

Andrew Goodall, Guus Regts, Lluis Vena, Thomas Krajewski

arxiv:1610.04486 v2 · 2016-10-14 · 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{HUTMW3OCILD4JMFEYDPK7ESAO5}

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	2026-05-18T00:53:39.900181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d26cb6dc242c7c4b0a4c0deaf9240776868fd5a262e16d8b90b84643cc3580e

Aliases

arxiv: 1610.04486 · arxiv_version: 1610.04486v2 · doi: 10.48550/arxiv.1610.04486 · pith_short_12: HUTMW3OCILD4 · pith_short_16: HUTMW3OCILD4JMFE · pith_short_8: HUTMW3OC

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/HUTMW3OCILD4JMFEYDPK7ESAO5 \
  | 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: 3d26cb6dc242c7c4b0a4c0deaf9240776868fd5a262e16d8b90b84643cc3580e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c065f52ee329f05b1e5d6787fa90b930e89196e1240069c59cf92ac061e66771",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-14T14:48:14Z",
    "title_canon_sha256": "1fe67f50e16996ae003e40ab742104e060598b288804012e76edc8896ac6b22d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04486",
    "kind": "arxiv",
    "version": 2
  }
}