Pith Number

pith:ERT77KMU

pith:2014:ERT77KMU7XGPT6UVZOVEFTKBNA

not attested not anchored not stored refs pending

The catenary degree of Krull monoids II

Alfred Geroldinger, Qinghai Zhong

arxiv:1407.0548 v2 · 2014-07-02 · math.AC · math.CO · 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{ERT77KMU7XGPT6UVZOVEFTKBNA}

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	2026-05-17T23:53:34.824425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2467ffa994fdccf9fa95cbaa42cd41683f6bdb3443dff97c808a63e3f2ff76a1

Aliases

arxiv: 1407.0548 · arxiv_version: 1407.0548v2 · doi: 10.48550/arxiv.1407.0548 · pith_short_12: ERT77KMU7XGP · pith_short_16: ERT77KMU7XGPT6UV · pith_short_8: ERT77KMU

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/ERT77KMU7XGPT6UVZOVEFTKBNA \
  | 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: 2467ffa994fdccf9fa95cbaa42cd41683f6bdb3443dff97c808a63e3f2ff76a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbc8a54cb327df79e2b2f53f8446c13d8f933dac7b5dc890e3d83351447785bc",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-07-02T12:59:28Z",
    "title_canon_sha256": "21da74d77266aedb725e71efad56c8a8643cfa436f701f88c741ed5624bcd5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0548",
    "kind": "arxiv",
    "version": 2
  }
}