Pith Number

pith:WH5FZWDP

pith:2024:WH5FZWDPPU6T4KXD7U3IO56BOL

not attested not anchored not stored refs pending

Surgery formulas for Seiberg-Witten invariants and family Seiberg-Witten invariants

Haochen Qiu

arxiv:2411.10392 v1 · 2024-11-15 · 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{WH5FZWDPPU6T4KXD7U3IO56BOL}

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.

Cited by

1 paper in Pith

Irreducible 4-manifolds can admit exotic diffeomorphisms

Receipt and verification

First computed	2026-07-05T09:36:04.595481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1fa5cd86f7d3d3e2ae3fd368777c172dbc363ae4056b8c04ebdc9f847b14688

Aliases

arxiv: 2411.10392 · arxiv_version: 2411.10392v1 · doi: 10.48550/arxiv.2411.10392 · pith_short_12: WH5FZWDPPU6T · pith_short_16: WH5FZWDPPU6T4KXD · pith_short_8: WH5FZWDP

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/WH5FZWDPPU6T4KXD7U3IO56BOL \
  | 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: b1fa5cd86f7d3d3e2ae3fd368777c172dbc363ae4056b8c04ebdc9f847b14688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e92cd9a5b3c95e4dfecb244cc2e8e9cd85e3863421f65e972fa9baafa5739da2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-11-15T18:01:05Z",
    "title_canon_sha256": "550b82f9433e6719628ed8582c56c2233bbecff04eefd9d180155a2dd46c08d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.10392",
    "kind": "arxiv",
    "version": 1
  }
}