Pith Number

pith:3LIKRCR7

pith:2007:3LIKRCR72B4DUTPIPL2SKFWRMZ

not attested not anchored not stored refs pending

Interval Edge Colourings of Complete Graphs and n-cubes

Petros A. Petrosyan

arxiv:0712.2585 v2 · 2007-12-17 · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LIKRCR72B4DUTPIPL2SKFWRMZ}

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	2026-05-18T04:09:04.283396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad0a88a3fd0783a4de87af52516d166660f06d9c7bd424c1bba670d61648c0e

Aliases

arxiv: 0712.2585 · arxiv_version: 0712.2585v2 · doi: 10.48550/arxiv.0712.2585 · pith_short_12: 3LIKRCR72B4D · pith_short_16: 3LIKRCR72B4DUTPI · pith_short_8: 3LIKRCR7

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/3LIKRCR72B4DUTPIPL2SKFWRMZ \
  | 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: dad0a88a3fd0783a4de87af52516d166660f06d9c7bd424c1bba670d61648c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc75fd51862bbb4f5ba5b6b32995538c8c570b785be5979986be3e1419ca8fbf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.DM",
    "submitted_at": "2007-12-17T10:43:19Z",
    "title_canon_sha256": "fa52a4074e7cbd583131d8b72c91af38dec38e8e5d4b9d6b7a3e6ced40136e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2585",
    "kind": "arxiv",
    "version": 2
  }
}