Pith Number

pith:ZITZY7QI

pith:2015:ZITZY7QIC6KZJEOFJYUIL7EZLW

not attested not anchored not stored refs pending

On the list chromatic index of graphs of tree-width 3 and maximum degree at least 7

Richard Lang

arxiv:1504.02122 v1 · 2015-04-08 · 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{ZITZY7QIC6KZJEOFJYUIL7EZLW}

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	2026-05-18T02:19:15.995153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca279c7e0817959491c54e2885fc995d92f5e9b6eaeca324e39c2a9dacb29015

Aliases

arxiv: 1504.02122 · arxiv_version: 1504.02122v1 · doi: 10.48550/arxiv.1504.02122 · pith_short_12: ZITZY7QIC6KZ · pith_short_16: ZITZY7QIC6KZJEOF · pith_short_8: ZITZY7QI

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/ZITZY7QIC6KZJEOFJYUIL7EZLW \
  | 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: ca279c7e0817959491c54e2885fc995d92f5e9b6eaeca324e39c2a9dacb29015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31c2ee7867cdd10d2606ada37eeda8a2cc915744b1698946c111a3e39214702b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-08T20:46:49Z",
    "title_canon_sha256": "7fe8b8672333b8862082c9e96fabaf89f5c20c8f65974d7c5332132f2d317e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02122",
    "kind": "arxiv",
    "version": 1
  }
}