Pith Number

pith:WLHUPQRU

pith:2013:WLHUPQRU54Y7DEGYU5MW2YR4VK

not attested not anchored not stored refs pending

On vertex decomposable simplicial complexes and their Alexander duals

Fahimeh Khosh-Ahang, Somayeh Moradi

arxiv:1302.5947 v4 · 2013-02-24 · 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{WLHUPQRU54Y7DEGYU5MW2YR4VK}

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	2026-05-18T01:08:21.636955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2cf47c234ef31f190d8a7596d623caabcac11bff233bf42ad4944c7110386b4

Aliases

arxiv: 1302.5947 · arxiv_version: 1302.5947v4 · doi: 10.48550/arxiv.1302.5947 · pith_short_12: WLHUPQRU54Y7 · pith_short_16: WLHUPQRU54Y7DEGY · pith_short_8: WLHUPQRU

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/WLHUPQRU54Y7DEGYU5MW2YR4VK \
  | 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: b2cf47c234ef31f190d8a7596d623caabcac11bff233bf42ad4944c7110386b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ef39ab3a099e288a94bd028651a518719ab9d1a0e009ca7b7f53409ab8816e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-24T20:08:51Z",
    "title_canon_sha256": "927700d11449a53a57f6e432405b681e235ccc428886b9f1ccfbacc3216bf6fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5947",
    "kind": "arxiv",
    "version": 4
  }
}