Pith Number

pith:IKFHT34W

pith:2012:IKFHT34WTGSXLEVFNFXSOFL45Y

not attested not anchored not stored refs pending

Nordhaus-Guddam Type Relations of Three Graph Coloring Parameters

Ko-Wei Lih, Kuo-Ching Huang

arxiv:1209.2202 v1 · 2012-09-11 · 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{IKFHT34WTGSXLEVFNFXSOFL45Y}

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	2026-05-18T03:45:52.579379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

428a79ef9699a57592a5696f27157cee03d265b4ce09ca4538231cdf2d1b528c

Aliases

arxiv: 1209.2202 · arxiv_version: 1209.2202v1 · doi: 10.48550/arxiv.1209.2202 · pith_short_12: IKFHT34WTGSX · pith_short_16: IKFHT34WTGSXLEVF · pith_short_8: IKFHT34W

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/IKFHT34WTGSXLEVFNFXSOFL45Y \
  | 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: 428a79ef9699a57592a5696f27157cee03d265b4ce09ca4538231cdf2d1b528c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5dafddcba9e56b4fdfb017dfcd959e232b4740c6eb6a032b9d7db802baa6166",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-11T02:21:36Z",
    "title_canon_sha256": "9aa443522acc91aee2ec179c8a171dc1267c36b17226905b47bd06998b833d5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2202",
    "kind": "arxiv",
    "version": 1
  }
}