Pith Number

pith:7PK6IZ6U

pith:2018:7PK6IZ6UHOT7H4273GJBA6GEW3

not attested not anchored not stored refs pending

A lower bound for the rank of a universal quadratic form with integer coefficients in a totally real number field

Pavlo Yatsyna

arxiv:1808.01441 v1 · 2018-08-04 · 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{7PK6IZ6UHOT7H4273GJBA6GEW3}

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	2026-05-18T00:08:52.946900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbd5e467d43ba7f3f35fd9921078c4b6f6a78d29969aedf61ce4412864ea7192

Aliases

arxiv: 1808.01441 · arxiv_version: 1808.01441v1 · doi: 10.48550/arxiv.1808.01441 · pith_short_12: 7PK6IZ6UHOT7 · pith_short_16: 7PK6IZ6UHOT7H427 · pith_short_8: 7PK6IZ6U

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/7PK6IZ6UHOT7H4273GJBA6GEW3 \
  | 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: fbd5e467d43ba7f3f35fd9921078c4b6f6a78d29969aedf61ce4412864ea7192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c03217a30893a01f44114064a477f7923cecefd5b795ba58bbcf61e5e8fad15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-04T07:47:59Z",
    "title_canon_sha256": "818242e0b02f3552cf2c8ad6242005438e66aecf0fdb62f5aa46f7e5491b4f7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01441",
    "kind": "arxiv",
    "version": 1
  }
}