Pith Number

pith:K42X3IMC

pith:2015:K42X3IMC2TLME6AF2RUW33TTJV

not attested not anchored not stored refs pending

Number fields without n-ary universal quadratic forms

Valentin Blomer, V\'it\v{e}zslav Kala

arxiv:1503.05736 v2 · 2015-03-19 · 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{K42X3IMC2TLME6AF2RUW33TTJV}

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	2026-05-18T01:35:54.810643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57357da182d4d6c27805d4696dee734d54812a404b0b9a177c2f08d82b810427

Aliases

arxiv: 1503.05736 · arxiv_version: 1503.05736v2 · doi: 10.48550/arxiv.1503.05736 · pith_short_12: K42X3IMC2TLM · pith_short_16: K42X3IMC2TLME6AF · pith_short_8: K42X3IMC

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/K42X3IMC2TLME6AF2RUW33TTJV \
  | 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: 57357da182d4d6c27805d4696dee734d54812a404b0b9a177c2f08d82b810427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a07fb5ea2e4567a0e6f806780f1c50900d0c431e2998ec9ee61b84649a9f31a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-19T12:21:41Z",
    "title_canon_sha256": "c5f943bab56f9b1c5ab768aa8179c8f56065844ffb027bdd14cddfeb1733f418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05736",
    "kind": "arxiv",
    "version": 2
  }
}