Pith Number

pith:4UGXDQJM

pith:2025:4UGXDQJMMM43ZRQ47BL3HMN4IP

not attested not anchored not stored refs pending

Character factorisations, $z$-asymmetric partitions and plethysm

Seamus Albion

arxiv:2501.18520 v1 · 2025-01-30 · math.CO · 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{4UGXDQJMMM43ZRQ47BL3HMN4IP}

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	2026-07-05T10:07:35.081291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50d71c12c6339bcc61cf857b3b1bc43f6acd7e427839ec8c7ea428dfa3969ac

Aliases

arxiv: 2501.18520 · arxiv_version: 2501.18520v1 · doi: 10.48550/arxiv.2501.18520 · pith_short_12: 4UGXDQJMMM43 · pith_short_16: 4UGXDQJMMM43ZRQ4 · pith_short_8: 4UGXDQJM

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/4UGXDQJMMM43ZRQ47BL3HMN4IP \
  | 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: e50d71c12c6339bcc61cf857b3b1bc43f6acd7e427839ec8c7ea428dfa3969ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "133cc742620b84882810f2c2efb3b1f82a8c6a0c90d11ddc3a9c24e31370b695",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-30T17:34:26Z",
    "title_canon_sha256": "d0c8484f29949b12d75c2c8910cff816b44a896614fba89a98774755ba4eb79a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18520",
    "kind": "arxiv",
    "version": 1
  }
}