Pith Number

pith:3SHPM4MK

pith:2015:3SHPM4MKAP4WW26JZLOIZ7BYDI

not attested not anchored not stored refs pending

The list chromatic index of simple graphs whose odd cycles intersect in at most one edge

Gregory J. Puleo, Jessica McDonald

arxiv:1507.05933 v6 · 2015-07-21 · 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{3SHPM4MKAP4WW26JZLOIZ7BYDI}

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	2026-05-18T00:30:17.923120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc8ef6718a03f96b6bc9cadc8cfc381a261e45e33e4c18478a22aec3b685d041

Aliases

arxiv: 1507.05933 · arxiv_version: 1507.05933v6 · doi: 10.48550/arxiv.1507.05933 · pith_short_12: 3SHPM4MKAP4W · pith_short_16: 3SHPM4MKAP4WW26J · pith_short_8: 3SHPM4MK

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/3SHPM4MKAP4WW26JZLOIZ7BYDI \
  | 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: dc8ef6718a03f96b6bc9cadc8cfc381a261e45e33e4c18478a22aec3b685d041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb218dc3492aafa902e9556438479e4bde05cb6ae2ffd584643d7fdd18905b5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-21T18:14:05Z",
    "title_canon_sha256": "d9c97a1a3db9a022801b36a99bb257150be334bd06e05ba1db1c0bf89fbb56d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05933",
    "kind": "arxiv",
    "version": 6
  }
}