Pith Number

pith:A2JMCVWC

pith:2011:A2JMCVWC2QQXHACTAJLQTBSYTS

not attested not anchored not stored refs pending

Algebraic properties of product of graphs

Amir Mousivand

arxiv:1101.0515 v2 · 2011-01-03 · math.AC · 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{A2JMCVWC2QQXHACTAJLQTBSYTS}

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	2026-05-18T04:31:59.772846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0692c156c2d42173805302570986589c8486679fef9c9b58373b1c1118233c06

Aliases

arxiv: 1101.0515 · arxiv_version: 1101.0515v2 · doi: 10.48550/arxiv.1101.0515 · pith_short_12: A2JMCVWC2QQX · pith_short_16: A2JMCVWC2QQXHACT · pith_short_8: A2JMCVWC

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/A2JMCVWC2QQXHACTAJLQTBSYTS \
  | 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: 0692c156c2d42173805302570986589c8486679fef9c9b58373b1c1118233c06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4efe148162d71230e4d6d61959308063d21c1df33c00287dbdd8f4752655fb9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-01-03T13:08:22Z",
    "title_canon_sha256": "24c1c2c83ec3bb8951e65439cb0a8211fbf840247d8512040adce2bd86a0ccb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0515",
    "kind": "arxiv",
    "version": 2
  }
}