Pith Number

pith:RJ635TZQ

pith:2014:RJ635TZQ4PV6KSER2Y4EEJZXSR

not attested not anchored not stored refs pending

Fukaya A_\infty structures associated to Lefschetz fibrations. II

Paul Seidel

arxiv:1404.1352 v6 · 2014-04-04 · 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{RJ635TZQ4PV6KSER2Y4EEJZXSR}

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	2026-05-18T00:43:14.073905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a7dbecf30e3ebe54891d638422737944120b4f104c015eddb57058802b39d28

Aliases

arxiv: 1404.1352 · arxiv_version: 1404.1352v6 · doi: 10.48550/arxiv.1404.1352 · pith_short_12: RJ635TZQ4PV6 · pith_short_16: RJ635TZQ4PV6KSER · pith_short_8: RJ635TZQ

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/RJ635TZQ4PV6KSER2Y4EEJZXSR \
  | 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: 8a7dbecf30e3ebe54891d638422737944120b4f104c015eddb57058802b39d28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4413d37c1d1386e1b3413b53df965431d77b4e1d80f98a9463ca74926cb85924",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-04-04T19:29:15Z",
    "title_canon_sha256": "8e00c6b5674617ded866c0b9c5510b9bc3a5ca18f8ebc3fb4ce9bc8276afdff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1352",
    "kind": "arxiv",
    "version": 6
  }
}