Pith Number

pith:7QGEKJ56

pith:2017:7QGEKJ56JSAKUUTYM5KZC7JL5V

not attested not anchored not stored refs pending

On congruence half-factorial Krull monoids with cyclic class group

A Plagne (CMLS), Wolfgang Schmid (LAGA)

arxiv:1709.00859 v1 · 2017-09-04 · math.NT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QGEKJ56JSAKUUTYM5KZC7JL5V}

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	2026-05-18T00:36:04.884382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc0c4527be4c80aa52786755917d2bed74b4a90880991237963a403ebbcbbe6a

Aliases

arxiv: 1709.00859 · arxiv_version: 1709.00859v1 · doi: 10.48550/arxiv.1709.00859 · pith_short_12: 7QGEKJ56JSAK · pith_short_16: 7QGEKJ56JSAKUUTY · pith_short_8: 7QGEKJ56

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/7QGEKJ56JSAKUUTYM5KZC7JL5V \
  | 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: fc0c4527be4c80aa52786755917d2bed74b4a90880991237963a403ebbcbbe6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae5c669651db5d9bd5c24890354425687bb89fead7eca259386584b7f6951449",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-04T08:29:29Z",
    "title_canon_sha256": "91a66a1cb73984461584c37a44dd40e6fc8659004e11f568d8e6dba4529cf058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00859",
    "kind": "arxiv",
    "version": 1
  }
}