Pith Number

pith:YWG3SM5V

pith:2010:YWG3SM5VMQ6KX7GEFUJBKLV4D3

not attested not anchored not stored refs pending

Lagrangian Floer theory and mirror symmetry on compact toric manifolds

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

arxiv:1009.1648 v3 · 2010-09-08 · math.SG · 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{YWG3SM5VMQ6KX7GEFUJBKLV4D3}

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	2026-05-18T01:18:23.811578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c58db933b5643cabfcc42d12152ebc1ee747b4f98356cbb8a69e5025f2ee71a1

Aliases

arxiv: 1009.1648 · arxiv_version: 1009.1648v3 · doi: 10.48550/arxiv.1009.1648 · pith_short_12: YWG3SM5VMQ6K · pith_short_16: YWG3SM5VMQ6KX7GE · pith_short_8: YWG3SM5V

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/YWG3SM5VMQ6KX7GEFUJBKLV4D3 \
  | 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: c58db933b5643cabfcc42d12152ebc1ee747b4f98356cbb8a69e5025f2ee71a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca5e6ac7233e513f606650a269184fe85017e599bda0c2e646d40300bd68307",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-09-08T20:39:07Z",
    "title_canon_sha256": "b32faafb00a56621c12d0a797e76dc87ca578881342af137a5fdc680145d1271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1648",
    "kind": "arxiv",
    "version": 3
  }
}