Pith Number

pith:KADIA4Y7

pith:2025:KADIA4Y7ZD7NVU3BNISLJOMO2L

not attested not anchored not stored refs pending

Tight cylindric partitions

Matthew C. Russell, Shashank Kanade

arxiv:2508.15113 v1 · 2025-08-20 · math.CO · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KADIA4Y7ZD7NVU3BNISLJOMO2L}

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.

Cited by

1 paper in Pith

On a pair of three-colored (mod 10) partition identities

Receipt and verification

First computed	2026-07-05T11:57:06.692698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

500680731fc8fedad3616a24b4b98ed2f828f3483d1bd4f1727848a0db753972

Aliases

arxiv: 2508.15113 · arxiv_version: 2508.15113v1 · doi: 10.48550/arxiv.2508.15113 · pith_short_12: KADIA4Y7ZD7N · pith_short_16: KADIA4Y7ZD7NVU3B · pith_short_8: KADIA4Y7

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/KADIA4Y7ZD7NVU3BNISLJOMO2L \
  | 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: 500680731fc8fedad3616a24b4b98ed2f828f3483d1bd4f1727848a0db753972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e272bfd39ebce4f525ac7b199704d16d9d5e57ae7b5e4bf4b13734caf920453",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-20T23:02:08Z",
    "title_canon_sha256": "af8b5a9ea76265ee9d9cbfbe66e9d53e153fa34eac4724863181d9d2c313ea07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15113",
    "kind": "arxiv",
    "version": 1
  }
}