Pith Number

pith:UDHGCBGF

pith:2025:UDHGCBGFAD2KWOFAABYJOQIS4S

not attested not anchored not stored refs pending

Partial permutations and character evaluations

Brendon Rhoades, Zachary Hamaker

arxiv:2503.17552 v1 · 2025-03-21 · 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{UDHGCBGFAD2KWOFAABYJOQIS4S}

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

Rook sums in the symmetric group algebra

Receipt and verification

First computed	2026-07-05T10:37:11.798545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ce6104c500f4ab38a00070974112e4ad8a18427fcf1cc54341bb25a34b7e1f

Aliases

arxiv: 2503.17552 · arxiv_version: 2503.17552v1 · doi: 10.48550/arxiv.2503.17552 · pith_short_12: UDHGCBGFAD2K · pith_short_16: UDHGCBGFAD2KWOFA · pith_short_8: UDHGCBGF

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/UDHGCBGFAD2KWOFAABYJOQIS4S \
  | 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: a0ce6104c500f4ab38a00070974112e4ad8a18427fcf1cc54341bb25a34b7e1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af99b176be97fc8ed9b9614a1184938bcb14b2c440f8eec74809ae460d439b2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-21T21:55:36Z",
    "title_canon_sha256": "e1e33d7c7ea3f3cb98f7ad60feb61d4e5a526d9b6d06b62c23c7ec40e1516519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.17552",
    "kind": "arxiv",
    "version": 1
  }
}