Pith Number

pith:7XJBOPN6

pith:2015:7XJBOPN6UYW5RTY6L35JC4OSDK

not attested not anchored not stored refs pending

Stability of coisotropic fibrations on holomorphic symplectic manifolds

Christian Lehn, Gianluca Pacienza

arxiv:1512.08672 v2 · 2015-12-29 · 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{7XJBOPN6UYW5RTY6L35JC4OSDK}

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	2026-05-18T01:22:05.520585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdd2173dbea62dd8cf1e5efa9171d21a9ea9a0074911d7ca91e3098d487bb268

Aliases

arxiv: 1512.08672 · arxiv_version: 1512.08672v2 · doi: 10.48550/arxiv.1512.08672 · pith_short_12: 7XJBOPN6UYW5 · pith_short_16: 7XJBOPN6UYW5RTY6 · pith_short_8: 7XJBOPN6

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/7XJBOPN6UYW5RTY6L35JC4OSDK \
  | 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: fdd2173dbea62dd8cf1e5efa9171d21a9ea9a0074911d7ca91e3098d487bb268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6525aa6f0ff5643dfb084bed4ba84f0175627569565cae14ed39198ef625b86d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-29T13:06:27Z",
    "title_canon_sha256": "03e9fac402effb73edbe75dd5db14e6815befc3a607b83d458763f9bad348b0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08672",
    "kind": "arxiv",
    "version": 2
  }
}