Pith Number

pith:ENMC4HOJ

pith:2015:ENMC4HOJ6D4Q63QHTBLSXE6YLF

not attested not anchored not stored refs pending

A Characterization of class groups via sets of lengths {II}

Alfred Geroldinger, Qinghai Zhong

arxiv:1506.05223 v1 · 2015-06-17 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENMC4HOJ6D4Q63QHTBLSXE6YLF}

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	2026-05-17T23:41:22.407404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23582e1dc9f0f90f6e0798572b93d859654dc85b83266e5ba9f8a929186f3ec2

Aliases

arxiv: 1506.05223 · arxiv_version: 1506.05223v1 · doi: 10.48550/arxiv.1506.05223 · pith_short_12: ENMC4HOJ6D4Q · pith_short_16: ENMC4HOJ6D4Q63QH · pith_short_8: ENMC4HOJ

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/ENMC4HOJ6D4Q63QHTBLSXE6YLF \
  | 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: 23582e1dc9f0f90f6e0798572b93d859654dc85b83266e5ba9f8a929186f3ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "349d57dac1ec9d19b9b8f0ba2842b30a57bc74517d81322ef6a0145dd24e8362",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-17T07:23:57Z",
    "title_canon_sha256": "0ff6e9ea23e14d6f246eaed1de225c00057af14c31e061a644a86fa1834901fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05223",
    "kind": "arxiv",
    "version": 1
  }
}