Pith Number

pith:5IXLHYJA

pith:2013:5IXLHYJAA2QJ75I33H4RBZZ6EY

not attested not anchored not stored refs pending

On the number of integral quadratic polynomials with bounded heights and discriminants

D. Kaliada, F. G\"otze, M. Korolev

arxiv:1308.2091 v1 · 2013-08-09 · 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{5IXLHYJAA2QJ75I33H4RBZZ6EY}

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	2026-05-18T03:16:18.273360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea2eb3e12006a09ff51bd9f910e73e263904161ec01885cb88428a39f6b40557

Aliases

arxiv: 1308.2091 · arxiv_version: 1308.2091v1 · doi: 10.48550/arxiv.1308.2091 · pith_short_12: 5IXLHYJAA2QJ · pith_short_16: 5IXLHYJAA2QJ75I3 · pith_short_8: 5IXLHYJA

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/5IXLHYJAA2QJ75I33H4RBZZ6EY \
  | 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: ea2eb3e12006a09ff51bd9f910e73e263904161ec01885cb88428a39f6b40557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3341b75a0a6ebbaa459f984262d55e0920a1ab3aa46c448a327b910a3619b2bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-09T11:13:02Z",
    "title_canon_sha256": "e72f273846af266e042b5be01e478e37a2ffc1acc884200ab48a7b4c3eb471af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2091",
    "kind": "arxiv",
    "version": 1
  }
}