Pith Number

pith:I7FQCNQQ

pith:2025:I7FQCNQQV6GNPVTBK5ZQCETGJ2

not attested not anchored not stored refs pending

Log-regularity of monoid algebras

Shinnosuke Ishiro

arxiv:2509.01191 v2 · 2025-09-01 · math.AC · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7FQCNQQV6GNPVTBK5ZQCETGJ2}

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	2026-06-02T02:04:08.468747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47cb013610af8cd7d66157730112664e9afc2a88a5cdaebf4d6fc3ba80a3044f

Aliases

arxiv: 2509.01191 · arxiv_version: 2509.01191v2 · doi: 10.48550/arxiv.2509.01191 · pith_short_12: I7FQCNQQV6GN · pith_short_16: I7FQCNQQV6GNPVTB · pith_short_8: I7FQCNQQ

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/I7FQCNQQV6GNPVTBK5ZQCETGJ2 \
  | 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: 47cb013610af8cd7d66157730112664e9afc2a88a5cdaebf4d6fc3ba80a3044f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9829b185bf2a827e2c631cbb20087ed23335afd38a1a1196e537636a2d3e0ade",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-09-01T07:17:24Z",
    "title_canon_sha256": "db6b4114cef45fd8eef0cce10fa4cc453db7f6c55e04c05e6c0f2d7d8593b594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01191",
    "kind": "arxiv",
    "version": 2
  }
}