Pith Number

pith:G5LCDSJ3

pith:2024:G5LCDSJ3IIXHFKGZSNLB7PQMTF

not attested not anchored not stored refs pending

No proper generalized quadratic forms are universal over quadratic fields

Anna R\r{u}\v{z}i\v{c}kov\'a, Emma P\v{e}chou\v{c}kov\'a, Mat\v{e}j Dole\v{z}\'alek, Mikul\'a\v{s} Zindulka (Charles University), Om Prakash, Ond\v{r}ej Chwiedziuk, Simona Hlavinkov\'a, Zden\v{e}k Pezlar

arxiv:2409.07941 v1 · 2024-09-12 · 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{G5LCDSJ3IIXHFKGZSNLB7PQMTF}

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	2026-07-05T09:06:17.653219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375621c93b422e72a8d993561fbe0c994756f1748d22739394d30aa53fa6a151

Aliases

arxiv: 2409.07941 · arxiv_version: 2409.07941v1 · doi: 10.48550/arxiv.2409.07941 · pith_short_12: G5LCDSJ3IIXH · pith_short_16: G5LCDSJ3IIXHFKGZ · pith_short_8: G5LCDSJ3

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/G5LCDSJ3IIXHFKGZSNLB7PQMTF \
  | 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: 375621c93b422e72a8d993561fbe0c994756f1748d22739394d30aa53fa6a151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7fffd46c741d1fad87179600bc34a801b47eb3dafdb00a014d7fa58c090759a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-12T11:09:34Z",
    "title_canon_sha256": "6ea148e32d51affc2eade3b5f122870192704a6b92524e6fd7b5540958240359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.07941",
    "kind": "arxiv",
    "version": 1
  }
}