Pith Number

pith:SYM7PXUH

pith:2011:SYM7PXUH7L6T2JGG5VF4UXKVEA

not attested not anchored not stored refs pending

Lagrangian Floer theory over integers: spherically positive symplectic manifolds

Hiroshi Ohta, Kaoru Ono, Kenji Fukaya, Yong-Geun Oh

arxiv:1105.5124 v2 · 2011-05-25 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYM7PXUH7L6T2JGG5VF4UXKVEA}

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	2026-05-18T03:14:41.214433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9619f7de87fafd3d24c6ed4bca5d552023b7e19e2a8b3b672460da315158a190

Aliases

arxiv: 1105.5124 · arxiv_version: 1105.5124v2 · doi: 10.48550/arxiv.1105.5124 · pith_short_12: SYM7PXUH7L6T · pith_short_16: SYM7PXUH7L6T2JGG · pith_short_8: SYM7PXUH

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/SYM7PXUH7L6T2JGG5VF4UXKVEA \
  | 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: 9619f7de87fafd3d24c6ed4bca5d552023b7e19e2a8b3b672460da315158a190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32620e7e4c942fa2c1856648ac4814c119b02a8ebf17173838498d2f7f4b9507",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-05-25T19:42:50Z",
    "title_canon_sha256": "2ac9c99df8846fe0a7bc32c88f56f871a6c30de87b6edfe06fda3b56825707fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5124",
    "kind": "arxiv",
    "version": 2
  }
}