Pith Number

pith:HRDUQCOG

pith:2022:HRDUQCOGBXRGZIRGJGBQJZ4E55

not attested not anchored not stored refs pending

Genus Polynomials of Cubic Graphs with Non-Real Roots

Bojan Mohar, MacKenzie Carr, Varpreet Dhaliwal

arxiv:2212.09971 v1 · 2022-12-20 · 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{HRDUQCOGBXRGZIRGJGBQJZ4E55}

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	2026-07-05T05:27:02.213834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c474809c60de26ca226498304e784ef7fc377183626ef2c6be173ebf562ec66

Aliases

arxiv: 2212.09971 · arxiv_version: 2212.09971v1 · doi: 10.48550/arxiv.2212.09971 · pith_short_12: HRDUQCOGBXRG · pith_short_16: HRDUQCOGBXRGZIRG · pith_short_8: HRDUQCOG

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/HRDUQCOGBXRGZIRGJGBQJZ4E55 \
  | 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: 3c474809c60de26ca226498304e784ef7fc377183626ef2c6be173ebf562ec66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c1894a40a7c55e339f81fa02936132581e8db49effb286b0faa0ca152c75605",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-20T02:56:42Z",
    "title_canon_sha256": "9b85fdd8f9273e74ad8f5a195252db3724e6e6373f751e30033fbdb86f80a38b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.09971",
    "kind": "arxiv",
    "version": 1
  }
}