Pith Number

pith:4NUDSF6F

pith:2017:4NUDSF6F4F4OZWV6QDXKMMB2MA

not attested not anchored not stored refs pending

A splitting theorem for the Seiberg-Witten invariant of a homology $S^1 \times S^3$

Daniel Ruberman, Jianfeng Lin, Nikolai Saveliev

arxiv:1702.04417 v2 · 2017-02-14 · math.GT · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NUDSF6F4F4OZWV6QDXKMMB2MA}

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	2026-05-18T00:13:32.828720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3683917c5e178ecdabe80eea6303a6037024c193f5d56f97cedc42293d6acc1

Aliases

arxiv: 1702.04417 · arxiv_version: 1702.04417v2 · doi: 10.48550/arxiv.1702.04417 · pith_short_12: 4NUDSF6F4F4O · pith_short_16: 4NUDSF6F4F4OZWV6 · pith_short_8: 4NUDSF6F

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/4NUDSF6F4F4OZWV6QDXKMMB2MA \
  | 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: e3683917c5e178ecdabe80eea6303a6037024c193f5d56f97cedc42293d6acc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e552d573706d31f1d8133e84c70aff866c6caeb8b45ddad8f02426da8e7a0c3c",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-14T23:10:58Z",
    "title_canon_sha256": "f8a2b7ae59f27164bb115428a5c8e39222ea2d9aa76527807fa2761f96f9b020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04417",
    "kind": "arxiv",
    "version": 2
  }
}