Pith Number

pith:D72MDAJJ

pith:2018:D72MDAJJ7ISMDHQPWAXBZQQZ33

not attested not anchored not stored refs pending

Gradedness of the set of rook placements in $A_{n-1}$

Mikhail V. Ignatyev

arxiv:1811.01673 v1 · 2018-11-05 · math.RT · 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{D72MDAJJ7ISMDHQPWAXBZQQZ33}

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	2026-05-18T00:01:33.596542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ff4c18129fa24c19e0fb02e1cc219dec99493627b6cd57e4b0ba98b38989a22

Aliases

arxiv: 1811.01673 · arxiv_version: 1811.01673v1 · doi: 10.48550/arxiv.1811.01673 · pith_short_12: D72MDAJJ7ISM · pith_short_16: D72MDAJJ7ISMDHQP · pith_short_8: D72MDAJJ

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/D72MDAJJ7ISMDHQPWAXBZQQZ33 \
  | 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: 1ff4c18129fa24c19e0fb02e1cc219dec99493627b6cd57e4b0ba98b38989a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7a4a78107e9fd838c0e959687bd80f7ad590d44894853bbadea27e6d3c20a92",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-11-05T13:38:37Z",
    "title_canon_sha256": "03cacc40ac19e31711c259712c9fe58d4b4961c23eb41551464c5a64aab9aa6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01673",
    "kind": "arxiv",
    "version": 1
  }
}