Pith Number

pith:6Y3SYUTC

pith:2025:6Y3SYUTCIN75VKVX2U4RPPSS6O

not attested not anchored not stored refs pending

Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres

Daniel Hartman, David Gabai, David T. Gay

arxiv:2505.12088 v2 · 2025-05-17 · 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{6Y3SYUTCIN75VKVX2U4RPPSS6O}

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	2026-07-02T00:18:10.187267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6372c5262437fdaaab7d53917be52f3b6f1ed39ae5d7470cd909919d8157c62

Aliases

arxiv: 2505.12088 · arxiv_version: 2505.12088v2 · doi: 10.48550/arxiv.2505.12088 · pith_short_12: 6Y3SYUTCIN75 · pith_short_16: 6Y3SYUTCIN75VKVX · pith_short_8: 6Y3SYUTC

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/6Y3SYUTCIN75VKVX2U4RPPSS6O \
  | 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: f6372c5262437fdaaab7d53917be52f3b6f1ed39ae5d7470cd909919d8157c62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b401ab8ead16e2615603b7d2e9042ef120702d92c554545ac02b3afe2f082e52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-05-17T17:08:42Z",
    "title_canon_sha256": "6791fba9abee7737e6748ec1729e8f91b634756eae1012f134d15b5c449d42fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.12088",
    "kind": "arxiv",
    "version": 2
  }
}