Pith Number

pith:V2VVJLDP

pith:2008:V2VVJLDPDDPYO7IDEQZOTXCOWJ

not attested not anchored not stored refs pending

The enumeration of independent sets on some lattices

Zuhe Zhang

arxiv:0810.0866 v2 · 2008-10-06 · math.CO · math-ph · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2VVJLDPDDPYO7IDEQZOTXCOWJ}

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	2026-05-18T03:45:32.247416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeab54ac6f18df877d032432e9dc4eb27e09364125d71dd0ab9556907161312c

Aliases

arxiv: 0810.0866 · arxiv_version: 0810.0866v2 · doi: 10.48550/arxiv.0810.0866 · pith_short_12: V2VVJLDPDDPY · pith_short_16: V2VVJLDPDDPYO7ID · pith_short_8: V2VVJLDP

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/V2VVJLDPDDPYO7IDEQZOTXCOWJ \
  | 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: aeab54ac6f18df877d032432e9dc4eb27e09364125d71dd0ab9556907161312c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e30289bc85751450a48b518bc539d10700a9e03c910c2311e0a86fa2a1bf4ea1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-10-06T01:23:56Z",
    "title_canon_sha256": "10fb4532c8b172d854c9604bede6149c38a653d0ea1899db1f40b90049207a91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0866",
    "kind": "arxiv",
    "version": 2
  }
}