Pith Number

pith:SV2GGRYI

pith:2013:SV2GGRYIQQJK2SIVQF4DGY6WNJ

not attested not anchored not stored refs pending

The toric h-vector of a cubical complex in terms of noncrossing partition statistics

G\'abor Hetyei, Sarah Birdsong

arxiv:1302.5020 v1 · 2013-02-20 · 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{SV2GGRYIQQJK2SIVQF4DGY6WNJ}

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	2026-05-18T03:33:00.429106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95746347088412ad491581783363d66a4ff137937fdf9513acd4e92b75277fa4

Aliases

arxiv: 1302.5020 · arxiv_version: 1302.5020v1 · doi: 10.48550/arxiv.1302.5020 · pith_short_12: SV2GGRYIQQJK · pith_short_16: SV2GGRYIQQJK2SIV · pith_short_8: SV2GGRYI

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/SV2GGRYIQQJK2SIVQF4DGY6WNJ \
  | 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: 95746347088412ad491581783363d66a4ff137937fdf9513acd4e92b75277fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8725653b6cba4770f699c8499fbdefa2a0c98699f467b9b0270712c2ab509800",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-20T16:27:58Z",
    "title_canon_sha256": "a70c640143772ada897bc8542e7fb8bfaa86ff7ff9cf269dd7a227b7e8bfd185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5020",
    "kind": "arxiv",
    "version": 1
  }
}