Pith Number

pith:MDGUKFV6

pith:2024:MDGUKFV66L7GTFM3IOOYKJ2LBF

not attested not anchored not stored refs pending

Exotic diffeomorphisms on $4$-manifolds with $b_2^+ = 2$

Haochen Qiu

arxiv:2409.07009 v1 · 2024-09-11 · 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{MDGUKFV66L7GTFM3IOOYKJ2LBF}

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

Families of diffeomorphisms, embeddings, and positive scalar curvature metrics via Seiberg-Witten theory

Receipt and verification

First computed	2026-07-05T09:05:44.313205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60cd4516bef2fe69959b439d85274b09512dbf483adf44e28580721759f6ffe3

Aliases

arxiv: 2409.07009 · arxiv_version: 2409.07009v1 · doi: 10.48550/arxiv.2409.07009 · pith_short_12: MDGUKFV66L7G · pith_short_16: MDGUKFV66L7GTFM3 · pith_short_8: MDGUKFV6

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/MDGUKFV66L7GTFM3IOOYKJ2LBF \
  | 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: 60cd4516bef2fe69959b439d85274b09512dbf483adf44e28580721759f6ffe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a03770c3fa436f2bca0b15f02fe739b622547f9338278a3b04b2256e82e473c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-11T04:45:57Z",
    "title_canon_sha256": "61b52cde923703c9094aca7e0276b53641954f57e492da7647ceec2fd10e1058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.07009",
    "kind": "arxiv",
    "version": 1
  }
}