Pith Number

pith:NNZUWAMM

pith:2018:NNZUWAMMYG5YZ7T73FZ5NUMJSI

not attested not anchored not stored refs pending

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

Paul Seidel

arxiv:1802.09461 v2 · 2018-02-26 · 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{NNZUWAMMYG5YZ7T73FZ5NUMJSI}

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	2026-05-18T00:02:12.797856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b734b018cc1bb8cfe7fd973d6d189922d2d2179c6d89f5dad05efc65a4c6811

Aliases

arxiv: 1802.09461 · arxiv_version: 1802.09461v2 · doi: 10.48550/arxiv.1802.09461 · pith_short_12: NNZUWAMMYG5Y · pith_short_16: NNZUWAMMYG5YZ7T7 · pith_short_8: NNZUWAMM

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/NNZUWAMMYG5YZ7T73FZ5NUMJSI \
  | 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: 6b734b018cc1bb8cfe7fd973d6d189922d2d2179c6d89f5dad05efc65a4c6811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37497badcd27cc74e6a8d92066fc09e1af1cb831dd87d1dd7b530dd5e2e630e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-02-26T17:12:56Z",
    "title_canon_sha256": "db9cf08a4287d85688d38bacda73116b124390375b1da5cf0b8d42bfb6c55db2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09461",
    "kind": "arxiv",
    "version": 2
  }
}