Pith Number

pith:G4VQZOOW

pith:2011:G4VQZOOWR5EZWHWUPIZXJS6ADK

not attested not anchored not stored refs pending

The locus of real multiplication and the Schottky locus

Martin M\"oller, Matt Bainbridge

arxiv:1107.3832 v2 · 2011-07-19 · 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{G4VQZOOWR5EZWHWUPIZXJS6ADK}

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	2026-05-18T04:17:04.157967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372b0cb9d68f499b1ed47a3374cbc01a949938f5c11026a9ebc8e09cc8ea7675

Aliases

arxiv: 1107.3832 · arxiv_version: 1107.3832v2 · doi: 10.48550/arxiv.1107.3832 · pith_short_12: G4VQZOOWR5EZ · pith_short_16: G4VQZOOWR5EZWHWU · pith_short_8: G4VQZOOW

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/G4VQZOOWR5EZWHWUPIZXJS6ADK \
  | 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: 372b0cb9d68f499b1ed47a3374cbc01a949938f5c11026a9ebc8e09cc8ea7675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e73501d85924dac44c0bab5890c1c26c59b491bb34e4878ee6e87bb31e4f4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-19T19:55:25Z",
    "title_canon_sha256": "f8b81107192158c1ea489ebe7907756f6348b9f8a4d2307277ff269ae646214b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3832",
    "kind": "arxiv",
    "version": 2
  }
}