Pith Number

pith:4RYBWGN6

pith:2025:4RYBWGN6RNRQDQOMU5FBMYBATR

not attested not anchored not stored refs pending

A special class of prime ideals for infinite symmetric group algebras

Kevin Coulembier

arxiv:2507.03309 v2 · 2025-07-04 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RYBWGN6RNRQDQOMU5FBMYBATR}

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	2026-05-20T00:00:21.944978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4701b19be8b6301c1cca74a1660209c56f9eb1da791db65b0f722e13c0a01a4

Aliases

arxiv: 2507.03309 · arxiv_version: 2507.03309v2 · doi: 10.48550/arxiv.2507.03309 · pith_short_12: 4RYBWGN6RNRQ · pith_short_16: 4RYBWGN6RNRQDQOM · pith_short_8: 4RYBWGN6

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/4RYBWGN6RNRQDQOMU5FBMYBATR \
  | 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: e4701b19be8b6301c1cca74a1660209c56f9eb1da791db65b0f722e13c0a01a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e2f68754d763f442110dd534fd0bfba439268e51b6b037e0a574a4e511779b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-04T05:36:30Z",
    "title_canon_sha256": "e6be546d676abe6259e3283d5b6b01eb341af9df150bcfbdd8827452c1b165ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03309",
    "kind": "arxiv",
    "version": 2
  }
}