Pith Number

pith:AOLRC7S5

pith:2010:AOLRC7S55FXOASAVYQVCREW5CQ

not attested not anchored not stored refs pending

Obstructions to shellability, partitionability, and sequential Cohen-Macaulayness

Kenji Kashiwabara, Masahiro Hachimori

arxiv:1003.2037 v2 · 2010-03-10 · 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{AOLRC7S55FXOASAVYQVCREW5CQ}

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	2026-05-18T04:30:14.490275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0397117e5de96ee04815c42a2892dd1425d50eafd5da32eba55eb3848fb19457

Aliases

arxiv: 1003.2037 · arxiv_version: 1003.2037v2 · doi: 10.48550/arxiv.1003.2037 · pith_short_12: AOLRC7S55FXO · pith_short_16: AOLRC7S55FXOASAV · pith_short_8: AOLRC7S5

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/AOLRC7S55FXOASAVYQVCREW5CQ \
  | 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: 0397117e5de96ee04815c42a2892dd1425d50eafd5da32eba55eb3848fb19457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df67d070d1dedc940d7256e5fdd548ea7f5567727693911318a49525a2b61dd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-10T07:55:46Z",
    "title_canon_sha256": "32ee9030125ef761de25f2c7c252ae271cd00b90170b9c7e2b96a33ffa1732ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2037",
    "kind": "arxiv",
    "version": 2
  }
}