Pith Number

pith:2NYSSCUI

pith:2014:2NYSSCUIBDZDWDZEG34TITYUYE

not attested not anchored not stored refs pending

On decomposing Betti tables and $O$-sequences

David Cook II

arxiv:1407.4085 v1 · 2014-07-15 · math.AC · 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{2NYSSCUIBDZDWDZEG34TITYUYE}

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	2026-05-18T02:47:31.958829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d371290a8808f23b0f2436f9344f14c135765594ec1fe895467bd3d5fc19c076

Aliases

arxiv: 1407.4085 · arxiv_version: 1407.4085v1 · doi: 10.48550/arxiv.1407.4085 · pith_short_12: 2NYSSCUIBDZD · pith_short_16: 2NYSSCUIBDZDWDZE · pith_short_8: 2NYSSCUI

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/2NYSSCUIBDZDWDZEG34TITYUYE \
  | 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: d371290a8808f23b0f2436f9344f14c135765594ec1fe895467bd3d5fc19c076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78f47d74319f4fc2fab41a3eb095f84da42d45c51f1cf8a81639d7c41a3faf4b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-07-15T18:23:28Z",
    "title_canon_sha256": "76c073d94191c758d5d7589ecc46aa8c256684bdc6213b204fc74b19044ffedc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4085",
    "kind": "arxiv",
    "version": 1
  }
}