Pith Number

pith:YY4VDYMW

pith:2015:YY4VDYMWWWYMQVA7QQAKSF3U4Z

not attested not anchored not stored refs pending

Arithmetic of seminormal weakly Krull monoids and domains

Alfred Geroldinger, Andreas Reinhart, Florian Kainrath

arxiv:1508.00710 v1 · 2015-08-04 · math.AC · 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{YY4VDYMWWWYMQVA7QQAKSF3U4Z}

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	2026-05-18T01:35:53.580496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c63951e196b5b0c8541f8400a91774e648ce472b182f0db9dc49da56aa4e5fe1

Aliases

arxiv: 1508.00710 · arxiv_version: 1508.00710v1 · doi: 10.48550/arxiv.1508.00710 · pith_short_12: YY4VDYMWWWYM · pith_short_16: YY4VDYMWWWYMQVA7 · pith_short_8: YY4VDYMW

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/YY4VDYMWWWYMQVA7QQAKSF3U4Z \
  | 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: c63951e196b5b0c8541f8400a91774e648ce472b182f0db9dc49da56aa4e5fe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe5154f18d600147cbeb7de8ff8a30c4220145a468764e803e08c2bfff00e7e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-08-04T09:18:41Z",
    "title_canon_sha256": "2a8c2ceb225395792620d4c83dc59d0989ec76ffded80c7a66bbe1169df0d3bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00710",
    "kind": "arxiv",
    "version": 1
  }
}