Pith Number

pith:C3DPVJIU

pith:2012:C3DPVJIUMTFLYM3N2MF75EPZTD

not attested not anchored not stored refs pending

Singular locus on the space of genus 2 curves with decomposable Jacobians

Lubjana Beshaj

arxiv:1209.1239 v1 · 2012-09-06 · 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{C3DPVJIUMTFLYM3N2MF75EPZTD}

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	2026-05-18T03:46:06.132337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16c6faa51464cabc336dd30bfe91f998f2c5d9bbb9c4f73c134bf6af7d0b87d1

Aliases

arxiv: 1209.1239 · arxiv_version: 1209.1239v1 · doi: 10.48550/arxiv.1209.1239 · pith_short_12: C3DPVJIUMTFL · pith_short_16: C3DPVJIUMTFLYM3N · pith_short_8: C3DPVJIU

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/C3DPVJIUMTFLYM3N2MF75EPZTD \
  | 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: 16c6faa51464cabc336dd30bfe91f998f2c5d9bbb9c4f73c134bf6af7d0b87d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328661adfad12ca23aadd4f5a700396477fcce9e58098dbf8a681d3c20d582b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-06T09:46:23Z",
    "title_canon_sha256": "c9dd5050c0936ea3a46f95e0a02dc0232e8c1a5127385712961e896e9da0e797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1239",
    "kind": "arxiv",
    "version": 1
  }
}