Pith Number

pith:6HCDJ74I

pith:2019:6HCDJ74IDEZSD2YRY7XBF6TV5J

not attested not anchored not stored refs pending

Laurent polynomials of planar graphs

Mariusz Zaj\k{a}c

arxiv:1912.03396 v1 · 2019-12-06 · 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{6HCDJ74IDEZSD2YRY7XBF6TV5J}

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	2026-07-05T00:24:45.046509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1c434ff88193321eb11c7ee12fa75ea7b4594a5206058141353dc4b322aac8d

Aliases

arxiv: 1912.03396 · arxiv_version: 1912.03396v1 · doi: 10.48550/arxiv.1912.03396 · pith_short_12: 6HCDJ74IDEZS · pith_short_16: 6HCDJ74IDEZSD2YR · pith_short_8: 6HCDJ74I

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/6HCDJ74IDEZSD2YRY7XBF6TV5J \
  | 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: f1c434ff88193321eb11c7ee12fa75ea7b4594a5206058141353dc4b322aac8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "616e590a3f220365ad71dc3dde23af12746fc24c1cfc367864e50e4c7576a4e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-12-06T23:57:38Z",
    "title_canon_sha256": "4aa9aed065240650b477c5953e92c2349d531eabea41daca140d3d6f9bf6aee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.03396",
    "kind": "arxiv",
    "version": 1
  }
}