Pith Number

pith:P2ATWY7V

pith:2018:P2ATWY7VQZIZCYEN4JSEMV4KNS

not attested not anchored not stored refs pending

Chromatic Polynomials of Oriented Graphs

Christopher Duffy, Danielle Cox

arxiv:1810.05590 v2 · 2018-10-12 · cs.DM · 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{P2ATWY7VQZIZCYEN4JSEMV4KNS}

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	2026-05-17T23:57:46.512867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e813b63f5865191608de26446578a6cb365eb8ef2a235abe511cf5d179eae36

Aliases

arxiv: 1810.05590 · arxiv_version: 1810.05590v2 · doi: 10.48550/arxiv.1810.05590 · pith_short_12: P2ATWY7VQZIZ · pith_short_16: P2ATWY7VQZIZCYEN · pith_short_8: P2ATWY7V

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/P2ATWY7VQZIZCYEN4JSEMV4KNS \
  | 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: 7e813b63f5865191608de26446578a6cb365eb8ef2a235abe511cf5d179eae36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcf6e30a73833ee9ec1081a4a17aecda81c8beaf3a3b175d2cfd1e6c5a614e7d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-10-12T16:05:56Z",
    "title_canon_sha256": "d9a5ae85da5d3729c4032ddd244afd14790eed6081f75e879d43e4f59d68052e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05590",
    "kind": "arxiv",
    "version": 2
  }
}