Pith Number

pith:6V4BBP3T

pith:2013:6V4BBP3TOCYETAJ3JMDUQBU2OZ

not attested not anchored not stored refs pending

Cubic Thue inequalities with positive discriminant

Shabnam Akhtari

arxiv:1307.5692 v1 · 2013-07-22 · 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{6V4BBP3TOCYETAJ3JMDUQBU2OZ}

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	2026-05-18T03:17:54.891883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f57810bf7370b049813b4b0748069a76537146e4a26d040ea1e10a8dd84359ef

Aliases

arxiv: 1307.5692 · arxiv_version: 1307.5692v1 · doi: 10.48550/arxiv.1307.5692 · pith_short_12: 6V4BBP3TOCYE · pith_short_16: 6V4BBP3TOCYETAJ3 · pith_short_8: 6V4BBP3T

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/6V4BBP3TOCYETAJ3JMDUQBU2OZ \
  | 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: f57810bf7370b049813b4b0748069a76537146e4a26d040ea1e10a8dd84359ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50765b9e076f7b52f3201e9a489f7aa27d08269f7f8ce017375973100c5162dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-22T13:03:04Z",
    "title_canon_sha256": "de3167b6e4a6193a5b8f3f648183bda112a426c3dd838ceb617d5f3ee91dc3b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5692",
    "kind": "arxiv",
    "version": 1
  }
}