Pith Number

pith:X47LWX4W

pith:2012:X47LWX4WDHGJFSODS3KWIB6B27

not attested not anchored not stored refs pending

Areas of triangles and Beck's theorem in planes over finite fields

Alex Iosevich, Misha Rudnev, Yujia Zhai

arxiv:1205.0107 v1 · 2012-05-01 · math.CO · math.CA · 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{X47LWX4WDHGJFSODS3KWIB6B27}

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	2026-05-18T03:56:35.854149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3ebb5f9619cc92c9c396d56407c1d7c7f1b0a492f96b4a22bfe8b009cfdb64

Aliases

arxiv: 1205.0107 · arxiv_version: 1205.0107v1 · doi: 10.48550/arxiv.1205.0107 · pith_short_12: X47LWX4WDHGJ · pith_short_16: X47LWX4WDHGJFSOD · pith_short_8: X47LWX4W

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/X47LWX4WDHGJFSODS3KWIB6B27 \
  | 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: bf3ebb5f9619cc92c9c396d56407c1d7c7f1b0a492f96b4a22bfe8b009cfdb64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c3287f6c99b417d4cd5b5e0a08734149022a0305e4760d8cdac9e6ea2d602a4",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-01T08:13:30Z",
    "title_canon_sha256": "e66717c6b3db3eabfa3bc3218cbb53a990a78604a20ba5a773c33a5fb52a7f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0107",
    "kind": "arxiv",
    "version": 1
  }
}