Pith Number

pith:D2GJVEN2

pith:2008:D2GJVEN2CLQC2TRVHMZALJUHCF

not attested not anchored not stored refs pending

Arithmetical rank of the cyclic and bicyclic graphs

Dariush Kiani, Fatemeh Mohammadi, Margherita Barile, Siamak Yassemi

arxiv:0805.1657 v2 · 2008-05-12 · 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{D2GJVEN2CLQC2TRVHMZALJUHCF}

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	2026-05-18T01:30:01.923296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e8c9a91ba12e02d4e353b3205a68711619e5576cd4378257c3722d6bc523762

Aliases

arxiv: 0805.1657 · arxiv_version: 0805.1657v2 · doi: 10.48550/arxiv.0805.1657 · pith_short_12: D2GJVEN2CLQC · pith_short_16: D2GJVEN2CLQC2TRV · pith_short_8: D2GJVEN2

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/D2GJVEN2CLQC2TRVHMZALJUHCF \
  | 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: 1e8c9a91ba12e02d4e353b3205a68711619e5576cd4378257c3722d6bc523762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ea270d77803fb743239561429e3e7fbec68bfa082bbc2bf9afdd433ac8c70a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-05-12T14:45:44Z",
    "title_canon_sha256": "3655e636848a027a822816a81dcd4c7ec8163439ccac5130757a651b9879c464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1657",
    "kind": "arxiv",
    "version": 2
  }
}