Pith Number

pith:R3KPPUV7

pith:2022:R3KPPUV7Y7UPPWBJGMM7TELTOV

not attested not anchored not stored refs pending

Mapping class groups of simply connected 4-manifolds with boundary

Mark Powell, Patrick Orson

arxiv:2207.05986 v3 · 2022-07-13 · 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{R3KPPUV7Y7UPPWBJGMM7TELTOV}

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

Exotic disks and singular instanton Floer homology

Receipt and verification

First computed	2026-07-05T08:55:29.608890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ed4f7d2bfc7e8f7d8293319f99173755d249df68d2a0f055be6a7036411e226

Aliases

arxiv: 2207.05986 · arxiv_version: 2207.05986v3 · doi: 10.48550/arxiv.2207.05986 · pith_short_12: R3KPPUV7Y7UP · pith_short_16: R3KPPUV7Y7UPPWBJ · pith_short_8: R3KPPUV7

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/R3KPPUV7Y7UPPWBJGMM7TELTOV \
  | 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: 8ed4f7d2bfc7e8f7d8293319f99173755d249df68d2a0f055be6a7036411e226

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc443fa3cc6186291b414cfbd864381c13de6ce3cb8dbeb70b2bb8626b6e1fd5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-07-13T06:46:28Z",
    "title_canon_sha256": "c8fce33676852046d3f0e0ab676d8cab1f4e4ed97bccb699bfff69d6f2936a48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05986",
    "kind": "arxiv",
    "version": 3
  }
}