Pith Number

pith:EXE6GEXH

pith:2012:EXE6GEXHQKDU4HTURERESEC3K3

not attested not anchored not stored refs pending

Interval edge-colorings of Cartesian products of graphs I

Hovhannes G. Tananyan, Hrant H. Khachatrian, Petros A. Petrosyan

arxiv:1202.0023 v1 · 2012-01-31 · math.CO · 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{EXE6GEXHQKDU4HTURERESEC3K3}

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	2026-05-18T04:03:20.739890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c9e312e782874e1e74892249105b56fd54a84832801692ef0c777491109158

Aliases

arxiv: 1202.0023 · arxiv_version: 1202.0023v1 · doi: 10.48550/arxiv.1202.0023 · pith_short_12: EXE6GEXHQKDU · pith_short_16: EXE6GEXHQKDU4HTU · pith_short_8: EXE6GEXH

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/EXE6GEXHQKDU4HTURERESEC3K3 \
  | 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: 25c9e312e782874e1e74892249105b56fd54a84832801692ef0c777491109158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b1ab619a0145a2eb9b44f5eca00390cef670449fe331b688206089a1c74dfb",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-31T21:14:21Z",
    "title_canon_sha256": "720226ec28bb12291d5b21f09b9f2d321bb03f0b4c6507c3184210205b26eebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0023",
    "kind": "arxiv",
    "version": 1
  }
}