Pith Number

pith:PSONVDC4

pith:2016:PSONVDC45UVSPZLV7VUQOYLPKX

not attested not anchored not stored refs pending

Generalization of Knuth's formula for the number of skew tableaux

Minwon Na

arxiv:1601.00384 v1 · 2016-01-04 · 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{PSONVDC45UVSPZLV7VUQOYLPKX}

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	2026-05-18T01:23:27.592712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c9cda8c5ced2b27e575fd6907616f55c73e80a59fd7b8d34db6dfbbfde40bd7

Aliases

arxiv: 1601.00384 · arxiv_version: 1601.00384v1 · doi: 10.48550/arxiv.1601.00384 · pith_short_12: PSONVDC45UVS · pith_short_16: PSONVDC45UVSPZLV · pith_short_8: PSONVDC4

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/PSONVDC45UVSPZLV7VUQOYLPKX \
  | 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: 7c9cda8c5ced2b27e575fd6907616f55c73e80a59fd7b8d34db6dfbbfde40bd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb4c16ab99c03df8eb3f3c037f354031340f03fb43b7a9c9a56b91e3fd3b167d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-04T05:49:20Z",
    "title_canon_sha256": "90bb3c7158513368d15fe317167f182df96658bdf8e7ff2ecad5db4f324bed46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00384",
    "kind": "arxiv",
    "version": 1
  }
}