Pith Number

pith:2XOBA3DP

pith:2018:2XOBA3DP2TJ6OH3C3TRWR6IRV5

not attested not anchored not stored refs pending

A note on the asymptotics of the number of O-sequences of given length

Fabrizio Zanello, Richard P. Stanley

arxiv:1810.07326 v3 · 2018-10-17 · 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{2XOBA3DP2TJ6OH3C3TRWR6IRV5}

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	2026-05-17T23:48:06.476976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5dc106c6fd4d3e71f62dce368f911af545a0d62fc51d86d8aa9a61f9c5f9086

Aliases

arxiv: 1810.07326 · arxiv_version: 1810.07326v3 · doi: 10.48550/arxiv.1810.07326 · pith_short_12: 2XOBA3DP2TJ6 · pith_short_16: 2XOBA3DP2TJ6OH3C · pith_short_8: 2XOBA3DP

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/2XOBA3DP2TJ6OH3C3TRWR6IRV5 \
  | 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: d5dc106c6fd4d3e71f62dce368f911af545a0d62fc51d86d8aa9a61f9c5f9086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9efd00862d6522c2c41b7054ba1bb9dfe911f04c90c5e094c8bdb24f7c34c54",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-10-17T00:13:03Z",
    "title_canon_sha256": "07e1a4d42a1bb1928876a00d5f3a3bf43adac5900c58bce9c0dcfae3dd8de12a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07326",
    "kind": "arxiv",
    "version": 3
  }
}