Pith Number

pith:OAJSEDYD

pith:2025:OAJSEDYD3SFNBRX4JAJN55DXQC

not attested not anchored not stored refs pending

Smoothing topological pseudo-isotopies of 4-manifolds

Mark Powell, Oscar Randal-Williams, Patrick Orson

arxiv:2507.16984 v1 · 2025-07-22 · 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{OAJSEDYD3SFNBRX4JAJN55DXQC}

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	2026-07-05T11:41:59.623687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7013220f03dc8ad0c6fc4812def477809dfe6759d1e3fa7ec77c3978db111872

Aliases

arxiv: 2507.16984 · arxiv_version: 2507.16984v1 · doi: 10.48550/arxiv.2507.16984 · pith_short_12: OAJSEDYD3SFN · pith_short_16: OAJSEDYD3SFNBRX4 · pith_short_8: OAJSEDYD

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/OAJSEDYD3SFNBRX4JAJN55DXQC \
  | 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: 7013220f03dc8ad0c6fc4812def477809dfe6759d1e3fa7ec77c3978db111872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e274834abe992ebd22d357dd7750c538f62181c901891ea739a6a949e39a7de7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-22T19:49:17Z",
    "title_canon_sha256": "2f58b861fd0d16e0d71cbb4715842ff639bbb3e639e2766620580b48ec1b5580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16984",
    "kind": "arxiv",
    "version": 1
  }
}