Pith Number

pith:2FRWMRSH

pith:2010:2FRWMRSH3QJPPFYRKT5M3HYV4I

not attested not anchored not stored refs pending

List precoloring extension in planar graphs

Joan P. Hutchinson, Maria Axenovich, Michelle A. Lastrina

arxiv:1006.5596 v2 · 2010-06-29 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FRWMRSH3QJPPFYRKT5M3HYV4I}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:26:10.643305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d163664647dc12f7971154facd9f15e21cb6f14d52890b15a85d0ed587683f5b

Aliases

arxiv: 1006.5596 · arxiv_version: 1006.5596v2 · doi: 10.48550/arxiv.1006.5596 · pith_short_12: 2FRWMRSH3QJP · pith_short_16: 2FRWMRSH3QJPPFYR · pith_short_8: 2FRWMRSH

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/2FRWMRSH3QJPPFYRKT5M3HYV4I \
  | 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: d163664647dc12f7971154facd9f15e21cb6f14d52890b15a85d0ed587683f5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "400cb05deae548ef51ae1d8b50683132c0e24a07b5891324d57a4bb1b7603263",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-29T12:50:58Z",
    "title_canon_sha256": "e5a7c15a3359426d12928e2e39e78439e827e2af53bfd4c7e49cee7c6c4bfaf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5596",
    "kind": "arxiv",
    "version": 2
  }
}