Pith Number

pith:UV2TVVRF

pith:2011:UV2TVVRFTTGPIJ2HYZ2OT2Z575

not attested not anchored not stored refs pending

On the Locating Chromatic Number of the Cartesian Product of Graphs

Ali Behtoei, Behnaz Omoomi

arxiv:1106.3453 v3 · 2011-06-17 · 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{UV2TVVRFTTGPIJ2HYZ2OT2Z575}

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	2026-05-18T03:38:56.353519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5753ad6259cccf42747c674e9eb3dff43a7cab3b59a1edf991e6b9e9054b82f

Aliases

arxiv: 1106.3453 · arxiv_version: 1106.3453v3 · doi: 10.48550/arxiv.1106.3453 · pith_short_12: UV2TVVRFTTGP · pith_short_16: UV2TVVRFTTGPIJ2H · pith_short_8: UV2TVVRF

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/UV2TVVRFTTGPIJ2HYZ2OT2Z575 \
  | 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: a5753ad6259cccf42747c674e9eb3dff43a7cab3b59a1edf991e6b9e9054b82f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0032b4b7c405ea44abca7eca11dd0ffb1520215bd1d85eba042be39216601713",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-17T11:39:19Z",
    "title_canon_sha256": "e9060e8bd5dd4d2ec2cb80e977267f6d714e080d826a08bcdff530f464b20ba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3453",
    "kind": "arxiv",
    "version": 3
  }
}