Pith Number

pith:S4DO4XML

pith:2011:S4DO4XMLVKKSN3KY3QCVNC24WW

not attested not anchored not stored refs pending

Floer homology of Lagrangian submanifolds

Kenji Fukaya

arxiv:1106.4882 v1 · 2011-06-24 · 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{S4DO4XMLVKKSN3KY3QCVNC24WW}

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	2026-05-18T04:19:22.744555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9706ee5d8baa9526ed58dc05568b5cb590a6fcaee2f04346a4de0869d8a2309e

Aliases

arxiv: 1106.4882 · arxiv_version: 1106.4882v1 · doi: 10.48550/arxiv.1106.4882 · pith_short_12: S4DO4XMLVKKS · pith_short_16: S4DO4XMLVKKSN3KY · pith_short_8: S4DO4XML

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/S4DO4XMLVKKSN3KY3QCVNC24WW \
  | 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: 9706ee5d8baa9526ed58dc05568b5cb590a6fcaee2f04346a4de0869d8a2309e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4bcad92624e45a845621a91bc20d75087b96fd0d9dbbf206f85a6cc0f347c3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-06-24T03:32:45Z",
    "title_canon_sha256": "e97b842ef41682b7cb8e91b4585b9fdc47e0d0c7d41d503dfda2edd2314516da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4882",
    "kind": "arxiv",
    "version": 1
  }
}