Pith Number

pith:LXYE2BK4

pith:2013:LXYE2BK42U4OMM5C6Z23YPFUSY

not attested not anchored not stored refs pending

Class numbers of ternary quadratic forms

Byeong-Kweon Oh, Wai Kiu Chan

arxiv:1304.5829 v1 · 2013-04-22 · 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{LXYE2BK42U4OMM5C6Z23YPFUSY}

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	2026-05-18T03:27:23.994879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df04d055cd538e633a2f675bc3cb49612261e0db31e023d6c036fac9aa1ab27

Aliases

arxiv: 1304.5829 · arxiv_version: 1304.5829v1 · doi: 10.48550/arxiv.1304.5829 · pith_short_12: LXYE2BK42U4O · pith_short_16: LXYE2BK42U4OMM5C · pith_short_8: LXYE2BK4

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/LXYE2BK42U4OMM5C6Z23YPFUSY \
  | 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: 5df04d055cd538e633a2f675bc3cb49612261e0db31e023d6c036fac9aa1ab27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84bde42d5bdfc2998240825fbe218000123b632b0cd3a88ebeaad45fe32c658d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-22T04:07:30Z",
    "title_canon_sha256": "e68cdd368fc268c1d5b6f6143be7dae3edc1c5c9c3a7df74d41f6eb8dc40b36b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5829",
    "kind": "arxiv",
    "version": 1
  }
}