Pith Number

pith:IO2GCUVR

pith:2016:IO2GCUVR7KKHNCKHP36UHVLT5R

not attested not anchored not stored refs pending

Picard groups of b-symplectic manifolds

Joel Villatoro

arxiv:1609.05406 v1 · 2016-09-17 · math.SG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IO2GCUVR7KKHNCKHP36UHVLT5R}

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	2026-07-05T03:05:40.156628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43b46152b1fa947689477efd43d573ec556c4a46df425e9fa3d8f4684ae69279

Aliases

arxiv: 1609.05406 · arxiv_version: 1609.05406v1 · doi: 10.48550/arxiv.1609.05406 · pith_short_12: IO2GCUVR7KKH · pith_short_16: IO2GCUVR7KKHNCKH · pith_short_8: IO2GCUVR

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/IO2GCUVR7KKHNCKHP36UHVLT5R \
  | 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: 43b46152b1fa947689477efd43d573ec556c4a46df425e9fa3d8f4684ae69279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0766c10377272100fa3d728552abb8bef69dd54c9de644cadfd119807e26b5a0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-09-17T23:56:25Z",
    "title_canon_sha256": "8bf48e143c4266343a58fb5e72609133412d3912a4fe4f92f253637db0cf4352"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05406",
    "kind": "arxiv",
    "version": 1
  }
}