Pith Number

pith:MAZPUDML

pith:2025:MAZPUDMLWG2A642FENK5W3AG2N

not attested not anchored not stored refs pending

The Balmer spectrum of integral permutation modules

Juan Omar G\'omez, Umesh V Dubey

arxiv:2507.05892 v1 · 2025-07-08 · math.RT · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MAZPUDMLWG2A642FENK5W3AG2N}

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	2026-07-05T11:33:37.873121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6032fa0d8bb1b40f73452355db6c06d369f7ffc58db3b4c212f79154f12ecafa

Aliases

arxiv: 2507.05892 · arxiv_version: 2507.05892v1 · doi: 10.48550/arxiv.2507.05892 · pith_short_12: MAZPUDMLWG2A · pith_short_16: MAZPUDMLWG2A642F · pith_short_8: MAZPUDML

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/MAZPUDMLWG2A642FENK5W3AG2N \
  | 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: 6032fa0d8bb1b40f73452355db6c06d369f7ffc58db3b4c212f79154f12ecafa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d44d2c5d68a4ae8ac922328de70ae0a154f5a0514c76c6096bef8660b921bee",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-08T11:27:31Z",
    "title_canon_sha256": "57afc468a68e65325730cb4e71b581e0a6eb2b68348c4fd79553eec31ca60197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05892",
    "kind": "arxiv",
    "version": 1
  }
}