Pith Number

pith:3W3ISNA4

pith:2014:3W3ISNA4ARWJU5H6FS7K6DHMGT

not attested not anchored not stored refs pending

Charts, signatures, and stabilizations of Lefschetz fibrations

Hisaaki Endo, Isao Hasegawa, Kokoro Tanaka, Seiichi Kamada

arxiv:1403.7946 v4 · 2014-03-31 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3W3ISNA4ARWJU5H6FS7K6DHMGT}

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	2026-05-18T02:27:05.561804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb689341c046c9a74fe2cbeaf0cec34cdd3be9dcd3e33b0540fc223d5a67bee

Aliases

arxiv: 1403.7946 · arxiv_version: 1403.7946v4 · doi: 10.48550/arxiv.1403.7946 · pith_short_12: 3W3ISNA4ARWJ · pith_short_16: 3W3ISNA4ARWJU5H6 · pith_short_8: 3W3ISNA4

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/3W3ISNA4ARWJU5H6FS7K6DHMGT \
  | 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: ddb689341c046c9a74fe2cbeaf0cec34cdd3be9dcd3e33b0540fc223d5a67bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d3d71bdcee25464f6bc8a56d164342e18b53d4b8e460b52707a7ca55475765",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-31T11:09:23Z",
    "title_canon_sha256": "f08d3f5eec8353623a197c6583321128bb7786924c3e16374eb0afe52c495f38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7946",
    "kind": "arxiv",
    "version": 4
  }
}