Pith Number

pith:DF3BW5EV

pith:2010:DF3BW5EVIUIXZTWCU7GFLIWN3O

not attested not anchored not stored refs pending

Hilbert series of algebras associated to direct graphs and order homology

Robert Wilson, Shirlei Serconek, Vladimir Retakh

arxiv:1010.6295 v3 · 2010-10-29 · math.RA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DF3BW5EVIUIXZTWCU7GFLIWN3O}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:08:24.486724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19761b749545117ccec2a7cc55a2cddb8be54de34f5e9717be15779570b0bca1

Aliases

arxiv: 1010.6295 · arxiv_version: 1010.6295v3 · doi: 10.48550/arxiv.1010.6295 · pith_short_12: DF3BW5EVIUIX · pith_short_16: DF3BW5EVIUIXZTWC · pith_short_8: DF3BW5EV

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/DF3BW5EVIUIXZTWCU7GFLIWN3O \
  | 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: 19761b749545117ccec2a7cc55a2cddb8be54de34f5e9717be15779570b0bca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834e1fe0864f684ae214c49b6380aae598ffe63cc75525bbea08953c16693ea7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-10-29T19:09:52Z",
    "title_canon_sha256": "4442a01caae0ce1a019a15608c9a8c7decfa7671c94e663717f23b733be499dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6295",
    "kind": "arxiv",
    "version": 3
  }
}