Pith Number

pith:L3HBDZOD

pith:2013:L3HBDZODHXAT4J55BQLEOTSTOS

not attested not anchored not stored refs pending

Counting imaginary quadratic points via universal torsors

Christopher Frei, Ulrich Derenthal

arxiv:1302.6151 v2 · 2013-02-25 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3HBDZODHXAT4J55BQLEOTSTOS}

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	2026-05-18T03:28:17.034928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ece11e5c33dc13e27bd0c16474e5374a868253f123ce84073949b8fd39c787c

Aliases

arxiv: 1302.6151 · arxiv_version: 1302.6151v2 · doi: 10.48550/arxiv.1302.6151 · pith_short_12: L3HBDZODHXAT · pith_short_16: L3HBDZODHXAT4J55 · pith_short_8: L3HBDZOD

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/L3HBDZODHXAT4J55BQLEOTSTOS \
  | 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: 5ece11e5c33dc13e27bd0c16474e5374a868253f123ce84073949b8fd39c787c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ae16753b7528e4847fac835d3e3b4254fbca24770a3ed873e93e211a2d3c07",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-25T16:51:20Z",
    "title_canon_sha256": "65b5453dfff8b43afcb4ca3b34cc6ceeef8db09c4b5ef14aaef78ec84a6aa97e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6151",
    "kind": "arxiv",
    "version": 2
  }
}