Pith Number

pith:OFO4NRLI

pith:2011:OFO4NRLIJHKN5QX7WXTD4IMN76

not attested not anchored not stored refs pending

Nuclei and exotic 4-manifolds

Kouichi Yasui

arxiv:1111.0620 v2 · 2011-11-02 · 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{OFO4NRLIJHKN5QX7WXTD4IMN76}

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	2026-05-18T04:02:13.423119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

715dc6c56849d4dec2ffb5e63e218dffaf4fcf2de209e9d10d4fc42f6f69bb1b

Aliases

arxiv: 1111.0620 · arxiv_version: 1111.0620v2 · doi: 10.48550/arxiv.1111.0620 · pith_short_12: OFO4NRLIJHKN · pith_short_16: OFO4NRLIJHKN5QX7 · pith_short_8: OFO4NRLI

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/OFO4NRLIJHKN5QX7WXTD4IMN76 \
  | 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: 715dc6c56849d4dec2ffb5e63e218dffaf4fcf2de209e9d10d4fc42f6f69bb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee5e2af926401471755f34f57cec219e8b23de0748d544d44fbc7dd6332110e",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-02T19:39:11Z",
    "title_canon_sha256": "ffbd37a9a96b94b78a8145664f859b5c8821a8ec42c3c54a028a5f8a782d1aaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0620",
    "kind": "arxiv",
    "version": 2
  }
}