Pith Number

pith:KLIGVDHK

pith:2012:KLIGVDHKQGMO7KXMITPMQG72HO

not attested not anchored not stored refs pending

Infinitely many small exotic Stein fillings

Kouichi Yasui, Selman Akbulut

arxiv:1208.1053 v3 · 2012-08-05 · math.GT · 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{KLIGVDHKQGMO7KXMITPMQG72HO}

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	2026-05-18T03:28:42.718840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d06a8cea8198efaaec44dec81bfa3b94620f1df7d0ba6e497557b07719c466

Aliases

arxiv: 1208.1053 · arxiv_version: 1208.1053v3 · doi: 10.48550/arxiv.1208.1053 · pith_short_12: KLIGVDHKQGMO · pith_short_16: KLIGVDHKQGMO7KXM · pith_short_8: KLIGVDHK

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/KLIGVDHKQGMO7KXMITPMQG72HO \
  | 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: 52d06a8cea8198efaaec44dec81bfa3b94620f1df7d0ba6e497557b07719c466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc8f92bd8152febd8afed7c97434f636ecc95dc2f078b35b2a12879e6fab45c8",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-05T21:38:26Z",
    "title_canon_sha256": "42cd4245e508a6667ee9151d4820a20a8305066f7584d0f4972455c8d4efd31d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1053",
    "kind": "arxiv",
    "version": 3
  }
}