Pith Number

pith:JO7CWN75

pith:2010:JO7CWN75TKVSPJMSSF2GYTX3PT

not attested not anchored not stored refs pending

Lagrangian subbundles of symplectic bundles over a curve

George H. Hitching, Insong Choe

arxiv:1012.1538 v1 · 2010-12-07 · 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{JO7CWN75TKVSPJMSSF2GYTX3PT}

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	2026-05-18T04:34:00.972733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bbe2b37fd9aab27a59291746c4efb7cece25244724d422f25626c21335ac5c5

Aliases

arxiv: 1012.1538 · arxiv_version: 1012.1538v1 · doi: 10.48550/arxiv.1012.1538 · pith_short_12: JO7CWN75TKVS · pith_short_16: JO7CWN75TKVSPJMS · pith_short_8: JO7CWN75

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/JO7CWN75TKVSPJMSSF2GYTX3PT \
  | 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: 4bbe2b37fd9aab27a59291746c4efb7cece25244724d422f25626c21335ac5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "885a352716af15c26f8446b2a8c25ef7e1370da0bab54f26917644309c221ae4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-07T15:40:16Z",
    "title_canon_sha256": "5b4d5b09e328a3c1ee479dbf97f9f3ad5cab4dd898f2721be6c45a59a98ecbf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1538",
    "kind": "arxiv",
    "version": 1
  }
}