Pith Number

pith:AJFRHSKW

pith:2011:AJFRHSKW2SVL62G2K4JC4IGGPA

not attested not anchored not stored refs pending

On Lagrangian fibrations by Jacobians II

Justin Sawon

arxiv:1109.4105 v1 · 2011-09-19 · 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{AJFRHSKW2SVL62G2K4JC4IGGPA}

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	2026-05-18T01:25:47.980989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

024b13c956d4aabf68da57122e20c6783e3361aa2cccdb686d8a93331f083933

Aliases

arxiv: 1109.4105 · arxiv_version: 1109.4105v1 · doi: 10.48550/arxiv.1109.4105 · pith_short_12: AJFRHSKW2SVL · pith_short_16: AJFRHSKW2SVL62G2 · pith_short_8: AJFRHSKW

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/AJFRHSKW2SVL62G2K4JC4IGGPA \
  | 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: 024b13c956d4aabf68da57122e20c6783e3361aa2cccdb686d8a93331f083933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536bd9383101af6d9ae8a84decbe9a6cb56d31fa11ad6d43afa66b064e547871",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-19T17:34:12Z",
    "title_canon_sha256": "9a42b90ae838c5b238d4621d94682c31b31e42ce2e8699336ed0216f4f1ac7f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4105",
    "kind": "arxiv",
    "version": 1
  }
}