Pith Number

pith:IT45YPNU

pith:2013:IT45YPNU6WDP5E73CPHJ4T4LYL

not attested not anchored not stored refs pending

Near-colorings: non-colorable graphs and NP-completeness

Mickael Montassier, Pascal Ochem

arxiv:1306.0752 v2 · 2013-06-04 · 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{IT45YPNU6WDP5E73CPHJ4T4LYL}

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	2026-05-18T03:21:44.941571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44f9dc3db4f586fe93fb13ce9e4f8bc2df723e8e915036c35e3915c0a5ebf1d8

Aliases

arxiv: 1306.0752 · arxiv_version: 1306.0752v2 · doi: 10.48550/arxiv.1306.0752 · pith_short_12: IT45YPNU6WDP · pith_short_16: IT45YPNU6WDP5E73 · pith_short_8: IT45YPNU

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/IT45YPNU6WDP5E73CPHJ4T4LYL \
  | 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: 44f9dc3db4f586fe93fb13ce9e4f8bc2df723e8e915036c35e3915c0a5ebf1d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74c2866a030ef79b1d38068ed24f0e20f7805f3403c6ede2847e170bcd56c9db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-04T12:43:51Z",
    "title_canon_sha256": "195cff264faae73b53f6cb21e2ac36097920583e2f1e36b691cc2f04df512f7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0752",
    "kind": "arxiv",
    "version": 2
  }
}