Pith Number

pith:3ZJYMRS2

pith:2014:3ZJYMRS2DP5XJFAGYVBWJBNAFO

not attested not anchored not stored refs pending

A genus zero Lefschetz fibration on the Akbulut cork

Takuya Ukida

arxiv:1406.5865 v1 · 2014-06-23 · 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{3ZJYMRS2DP5XJFAGYVBWJBNAFO}

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	2026-05-18T02:49:10.589803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5386465a1bfb749406c5436485a02b96d17eb3859100248a9365aec17c0d84

Aliases

arxiv: 1406.5865 · arxiv_version: 1406.5865v1 · doi: 10.48550/arxiv.1406.5865 · pith_short_12: 3ZJYMRS2DP5X · pith_short_16: 3ZJYMRS2DP5XJFAG · pith_short_8: 3ZJYMRS2

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/3ZJYMRS2DP5XJFAGYVBWJBNAFO \
  | 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: de5386465a1bfb749406c5436485a02b96d17eb3859100248a9365aec17c0d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f761508f21c8458b157a01f2bba3bb979e0fa872411fbeb57037cfbfd256f90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-06-23T10:51:23Z",
    "title_canon_sha256": "e351abc624b2bfc9873622f5d38bd446d4ec6d7e5c62adf536c528f377ad0ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5865",
    "kind": "arxiv",
    "version": 1
  }
}