Pith Number

pith:OJPH4UPF

pith:2013:OJPH4UPFOCDG7YT2UTKMHLDYHF

not attested not anchored not stored refs pending

Values of binary quadratic forms at integer points and Schmidt games

Barak Weiss, Dmitry Kleinbock

arxiv:1311.1560 v1 · 2013-11-07 · 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{OJPH4UPFOCDG7YT2UTKMHLDYHF}

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	2026-05-18T03:07:43.872297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

725e7e51e570866fe27aa4d4c3ac78396eafa655c3541b7647c998f44d375dbc

Aliases

arxiv: 1311.1560 · arxiv_version: 1311.1560v1 · doi: 10.48550/arxiv.1311.1560 · pith_short_12: OJPH4UPFOCDG · pith_short_16: OJPH4UPFOCDG7YT2 · pith_short_8: OJPH4UPF

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/OJPH4UPFOCDG7YT2UTKMHLDYHF \
  | 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: 725e7e51e570866fe27aa4d4c3ac78396eafa655c3541b7647c998f44d375dbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0952d82ee305d1c68264da990f63aea14eadb0b366d64643f1d149f06bb6181a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-07T01:36:39Z",
    "title_canon_sha256": "e27fa740942d8ffb19e1053ebc3872dc04efa3df48ed240b781eafec00f7e460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1560",
    "kind": "arxiv",
    "version": 1
  }
}