Pith Number

pith:IR3QMFC5

pith:2016:IR3QMFC52SKQDCAYKL4A6OZE4X

not attested not anchored not stored refs pending

Nonexistence of twists and surgeries generating exotic 4-manifolds

Kouichi Yasui

arxiv:1610.04033 v3 · 2016-10-13 · 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{IR3QMFC52SKQDCAYKL4A6OZE4X}

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	2026-05-18T00:06:43.806055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

447706145dd49501881852f80f3b24e5eaf6f9995aea41ebb6e0d15758ba8484

Aliases

arxiv: 1610.04033 · arxiv_version: 1610.04033v3 · doi: 10.48550/arxiv.1610.04033 · pith_short_12: IR3QMFC52SKQ · pith_short_16: IR3QMFC52SKQDCAY · pith_short_8: IR3QMFC5

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/IR3QMFC52SKQDCAYKL4A6OZE4X \
  | 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: 447706145dd49501881852f80f3b24e5eaf6f9995aea41ebb6e0d15758ba8484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "995c8c3b33fae1c86e87b66ad6b47ad872ff1d7ea4501088a257763246f19b50",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-13T11:27:12Z",
    "title_canon_sha256": "79d572e4e4e232a3ca50e7678b7fc9b49f6f8ed667ddc3e3278a2d2992676d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04033",
    "kind": "arxiv",
    "version": 3
  }
}