Pith Number

pith:QVEMYOQ5

pith:2013:QVEMYOQ5HU5QULNK3MNB2NWZIX

not attested not anchored not stored refs pending

Application of some combinatorial arrays in coloring of total graph of a commutative ring

Ghodratollah Aalipour, Saieed Akbari

arxiv:1305.4315 v1 · 2013-05-19 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVEMYOQ5HU5QULNK3MNB2NWZIX}

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	2026-05-18T03:25:24.113542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8548cc3a1d3d3b0a2daadb1a1d36d945d646dd94572ad57b7809e8bf9621757b

Aliases

arxiv: 1305.4315 · arxiv_version: 1305.4315v1 · doi: 10.48550/arxiv.1305.4315 · pith_short_12: QVEMYOQ5HU5Q · pith_short_16: QVEMYOQ5HU5QULNK · pith_short_8: QVEMYOQ5

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/QVEMYOQ5HU5QULNK3MNB2NWZIX \
  | 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: 8548cc3a1d3d3b0a2daadb1a1d36d945d646dd94572ad57b7809e8bf9621757b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21545514f110bfb5fc499cecb7d2910a397f48c47d51aaa4df449811a57fa6d8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-19T01:44:27Z",
    "title_canon_sha256": "357d44660ecfbb6f58aa4c614dededba3be6f5b6909e5056a984f7deef8aa57f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4315",
    "kind": "arxiv",
    "version": 1
  }
}