Pith Number

pith:KYTRPQHY

pith:2013:KYTRPQHYOZURMCFINYN4OOGC6A

not attested not anchored not stored refs pending

Lipschitz Equivalence Class, Ideal Class and the Gauss Class Number Problem

Li-Feng Xi, Ying Xiong

arxiv:1304.0103 v2 · 2013-03-30 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYTRPQHYOZURMCFINYN4OOGC6A}

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	2026-05-18T03:27:42.411720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

562717c0f876691608a86e1bc738c2f03585702026c9694eec321291a57901d0

Aliases

arxiv: 1304.0103 · arxiv_version: 1304.0103v2 · doi: 10.48550/arxiv.1304.0103 · pith_short_12: KYTRPQHYOZUR · pith_short_16: KYTRPQHYOZURMCFI · pith_short_8: KYTRPQHY

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/KYTRPQHYOZURMCFINYN4OOGC6A \
  | 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: 562717c0f876691608a86e1bc738c2f03585702026c9694eec321291a57901d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406f02918fcfbe9eea34a0f7dac1a41f555470d4f00d9b0fcf5edfecdfa3ed8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-03-30T13:08:55Z",
    "title_canon_sha256": "f3b851964dbb11caa78c5de8aa8c43973565ed79019ff809168bc4425876bbdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0103",
    "kind": "arxiv",
    "version": 2
  }
}