Pith Number

pith:BA4LHIAQ

pith:2011:BA4LHIAQDH2MHOCWVKYFCCNTEK

not attested not anchored not stored refs pending

Projective Dimension, Graph Domination Parameters, and Independence Complex Homology

Hailong Dao, Jay Schweig

arxiv:1110.2841 v2 · 2011-10-13 · 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{BA4LHIAQDH2MHOCWVKYFCCNTEK}

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	2026-05-18T04:10:25.190290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0838b3a01019f4c3b856aab05109b322891eb35454298f24389689b50eb7892a

Aliases

arxiv: 1110.2841 · arxiv_version: 1110.2841v2 · doi: 10.48550/arxiv.1110.2841 · pith_short_12: BA4LHIAQDH2M · pith_short_16: BA4LHIAQDH2MHOCW · pith_short_8: BA4LHIAQ

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/BA4LHIAQDH2MHOCWVKYFCCNTEK \
  | 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: 0838b3a01019f4c3b856aab05109b322891eb35454298f24389689b50eb7892a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baee2fd7d5883abc018092ea6c4201e2e8a134fd831e4234776219bad76d168a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-13T04:42:58Z",
    "title_canon_sha256": "a509acdf5fbce9ff1ce2ef4a8e282648949f271d8151d1bfd8ba13fbc9bc24cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2841",
    "kind": "arxiv",
    "version": 2
  }
}