Pith Number

pith:23ATSORJ

pith:2009:23ATSORJKVU7TV2V4GBCQMDXHS

not attested not anchored not stored refs pending

Cyclic symmetry and adic convergence in LagrangianFloer theory

Kenji Fukaya

arxiv:0907.4219 v1 · 2009-07-24 · math.DG · 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{23ATSORJKVU7TV2V4GBCQMDXHS}

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	2026-05-18T02:29:30.378870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c1393a295569f9d755e1822830773c876b84a6af824f341236f240abc5c69e

Aliases

arxiv: 0907.4219 · arxiv_version: 0907.4219v1 · doi: 10.48550/arxiv.0907.4219 · pith_short_12: 23ATSORJKVU7 · pith_short_16: 23ATSORJKVU7TV2V · pith_short_8: 23ATSORJ

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/23ATSORJKVU7TV2V4GBCQMDXHS \
  | 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: d6c1393a295569f9d755e1822830773c876b84a6af824f341236f240abc5c69e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2dfa4e2b0217b3305775b9becca69f8d8160013ef098db021b4062287b0e173",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-07-24T05:47:12Z",
    "title_canon_sha256": "78e0fdac3c6bdff7a53091d8abf6012e53d77800be890fb9a956c356e77528f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4219",
    "kind": "arxiv",
    "version": 1
  }
}