Pith Number

pith:Q4BG6X6W

pith:2011:Q4BG6X6WLPQYU6APVE4VOLTKAJ

not attested not anchored not stored refs pending

Cubic Curves, Finite Geometry and Cryptography

A.A. Bruen, D.L. Wehlau, J.W.P. Hirschfeld

arxiv:1107.4387 v1 · 2011-07-21 · 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{Q4BG6X6WLPQYU6APVE4VOLTKAJ}

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	2026-05-18T04:17:04.125942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87026f5fd65be18a780fa939572e6a02703d1a9e40de96e5cfd581246ec894ae

Aliases

arxiv: 1107.4387 · arxiv_version: 1107.4387v1 · doi: 10.48550/arxiv.1107.4387 · pith_short_12: Q4BG6X6WLPQY · pith_short_16: Q4BG6X6WLPQYU6AP · pith_short_8: Q4BG6X6W

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/Q4BG6X6WLPQYU6APVE4VOLTKAJ \
  | 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: 87026f5fd65be18a780fa939572e6a02703d1a9e40de96e5cfd581246ec894ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7532406cad29ba4b81dadee9fe798ef870aba182a2ccb172174d761eaeffa87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-21T21:48:24Z",
    "title_canon_sha256": "65678b021254e2cee8781a56238aafc352f0ab0447975dda52730188aa378eea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4387",
    "kind": "arxiv",
    "version": 1
  }
}