Pith Number

pith:K5NO5JPA

pith:2019:K5NO5JPA5TLWXNDACQIQVFWNLS

not attested not anchored not stored refs pending

Decomposable Jacobians

Angel Carocca, Herbert Lange, Rub\'i E. Rodr\'iguez

arxiv:1906.07747 v1 · 2019-06-18 · 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{K5NO5JPA5TLWXNDACQIQVFWNLS}

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	2026-05-17T23:42:57.866000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575aeea5e0ecd76bb46014110a96cd5c9d5f03b248b6affa5079e650af2f3f8c

Aliases

arxiv: 1906.07747 · arxiv_version: 1906.07747v1 · doi: 10.48550/arxiv.1906.07747 · pith_short_12: K5NO5JPA5TLW · pith_short_16: K5NO5JPA5TLWXNDA · pith_short_8: K5NO5JPA

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/K5NO5JPA5TLWXNDACQIQVFWNLS \
  | 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: 575aeea5e0ecd76bb46014110a96cd5c9d5f03b248b6affa5079e650af2f3f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7f98501a84d79ad306e6d1b7d3941393d288556b907ccdb4faa49dabb7e3cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-18T18:13:56Z",
    "title_canon_sha256": "9f779c1482a8184797c264d869d79ad466cbcfd239109935cf967e34ef76e9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07747",
    "kind": "arxiv",
    "version": 1
  }
}