Pith Number

pith:VRXPV7PW

pith:2013:VRXPV7PWJZIF2XZJN6VA2F275P

not attested not anchored not stored refs pending

Strong chromatic index of sparse graphs

Jaros{\l}aw Grytczuk, Ma{\l}gorzata \'Sleszy\'nska-Nowak, Micha{\l} D\k{e}bski

arxiv:1301.1992 v1 · 2013-01-09 · 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{VRXPV7PWJZIF2XZJN6VA2F275P}

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	2026-05-18T01:09:33.254075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6efafdf64e505d5f296faa0d175febd11a86d6b6ff8d4204ca7dd156c33b6f

Aliases

arxiv: 1301.1992 · arxiv_version: 1301.1992v1 · doi: 10.48550/arxiv.1301.1992 · pith_short_12: VRXPV7PWJZIF · pith_short_16: VRXPV7PWJZIF2XZJ · pith_short_8: VRXPV7PW

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/VRXPV7PWJZIF2XZJN6VA2F275P \
  | 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: ac6efafdf64e505d5f296faa0d175febd11a86d6b6ff8d4204ca7dd156c33b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe10caaf46fd369348aec161f4f558b58ae2dbf6ff8a2e1816c426c100b061a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-09T21:50:54Z",
    "title_canon_sha256": "34a499afb1fcbee0f58def338b3c2856a1582b047b75b0a68e161d89561161ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1992",
    "kind": "arxiv",
    "version": 1
  }
}