Pith Number

pith:6KOJJGOS

pith:2010:6KOJJGOS35A6CPYSXOKWZSXJJQ

not attested not anchored not stored refs pending

Pure O-sequences and matroid h-vectors

Erik Stokes, Fabrizio Zanello, Huy T\`ai H\`a

arxiv:1006.0325 v2 · 2010-06-02 · 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{6KOJJGOS35A6CPYSXOKWZSXJJQ}

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	2026-05-18T03:15:56.185161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f29c9499d2df41e13f12bb956ccae94c0d25829d86c4556cb28e6c88176aee0c

Aliases

arxiv: 1006.0325 · arxiv_version: 1006.0325v2 · doi: 10.48550/arxiv.1006.0325 · pith_short_12: 6KOJJGOS35A6 · pith_short_16: 6KOJJGOS35A6CPYS · pith_short_8: 6KOJJGOS

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/6KOJJGOS35A6CPYSXOKWZSXJJQ \
  | 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: f29c9499d2df41e13f12bb956ccae94c0d25829d86c4556cb28e6c88176aee0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a55d335c6ae11214fefbe3b9899f2fa362131c61cf62b57c3938a6d7837f69",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-02T08:59:08Z",
    "title_canon_sha256": "61c0cee3c654fc79957ba46139c6fada8e27015c0ba1ca91cd97b4bfd059960b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0325",
    "kind": "arxiv",
    "version": 2
  }
}