Pith Number

pith:66X3T5NJ

pith:2015:66X3T5NJTU6ZIDMFDYS6XYH3DK

not attested not anchored not stored refs pending

Fukaya A_\infty-structures associated to Lefschetz fibrations. II 1/2

Paul Seidel

arxiv:1504.06317 v2 · 2015-04-23 · 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{66X3T5NJTU6ZIDMFDYS6XYH3DK}

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	2026-05-18T01:27:07.738710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7afb9f5a99d3d940d851e25ebe0fb1abc30bf916ce102cd12ff175395404e04

Aliases

arxiv: 1504.06317 · arxiv_version: 1504.06317v2 · doi: 10.48550/arxiv.1504.06317 · pith_short_12: 66X3T5NJTU6Z · pith_short_16: 66X3T5NJTU6ZIDMF · pith_short_8: 66X3T5NJ

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/66X3T5NJTU6ZIDMFDYS6XYH3DK \
  | 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: f7afb9f5a99d3d940d851e25ebe0fb1abc30bf916ce102cd12ff175395404e04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29e54c6c65376be57cbca7ee48eec10a3cf616a94b1a355d6242affbdcabd42e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-04-23T19:59:31Z",
    "title_canon_sha256": "9b251e1f08dcb72e24618b20088114da18e33b3200b4ffaa67ff02c362aaddcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06317",
    "kind": "arxiv",
    "version": 2
  }
}