Pith Number

pith:67JFXWV5

pith:2019:67JFXWV556DB3UF75XQHUOUD67

not attested not anchored not stored refs pending

Edge colorings of graphs without monochromatic stars

Abhishek Methuku, Ervin Gy\H{o}ri, Lucas Colucci

arxiv:1903.04541 v6 · 2019-03-11 · 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{67JFXWV556DB3UF75XQHUOUD67}

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	2026-07-05T01:34:19.711278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d25bdabdef861dd0bfede07a3a83f7c8e55e877e75058dbe68c0f4193d226d

Aliases

arxiv: 1903.04541 · arxiv_version: 1903.04541v6 · doi: 10.48550/arxiv.1903.04541 · pith_short_12: 67JFXWV556DB · pith_short_16: 67JFXWV556DB3UF7 · pith_short_8: 67JFXWV5

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/67JFXWV556DB3UF75XQHUOUD67 \
  | 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: f7d25bdabdef861dd0bfede07a3a83f7c8e55e877e75058dbe68c0f4193d226d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c920e690802f8578f5f28c05b117bdaeb1f54dc3a53315e0886152a88595a3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-11T18:54:53Z",
    "title_canon_sha256": "3fac28882ad19ee9c156662816ab4b68b3abd2923ea49959ea466ea51e938ea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04541",
    "kind": "arxiv",
    "version": 6
  }
}