Pith Number

pith:EXV27A3A

pith:2012:EXV27A3ASH3EZRONYI7FTGSKF2

not attested not anchored not stored refs pending

Rees products and lexicographic shellability

John Shareshian, Michelle L. Wachs, Svante Linusson

arxiv:1203.0922 v1 · 2012-03-05 · math.CO · 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{EXV27A3ASH3EZRONYI7FTGSKF2}

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	2026-05-18T04:00:50.091909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25ebaf836091f64cc5cdc23e599a4a2e8be0dd3c40982feca091f5c158bd3042

Aliases

arxiv: 1203.0922 · arxiv_version: 1203.0922v1 · doi: 10.48550/arxiv.1203.0922 · pith_short_12: EXV27A3ASH3E · pith_short_16: EXV27A3ASH3EZRON · pith_short_8: EXV27A3A

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/EXV27A3ASH3EZRONYI7FTGSKF2 \
  | 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: 25ebaf836091f64cc5cdc23e599a4a2e8be0dd3c40982feca091f5c158bd3042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb13ca6d822ec3de6f9981612e4e226210cf630e8279ddfb319dbf97f2d595ff",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-05T14:01:04Z",
    "title_canon_sha256": "4cacc6d9bc362e2c77b048352ccd4265f1d3b8439f9677b13de6a5481c2e3f48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0922",
    "kind": "arxiv",
    "version": 1
  }
}