Pith Number

pith:QZGNB25H

pith:2024:QZGNB25HQKGLYAVSXGOU3AXOIK

not attested not anchored not stored refs pending

Grasper families of spheres in $S^2 \times D^2$ and barbell diffeomorphisms of $S^1\times S^2 \times I$

Danica Kosanovi\'c, Daniel Hartman, David T. Gay, Eduardo Fern\'andez

arxiv:2412.07467 v1 · 2024-12-10 · 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{QZGNB25HQKGLYAVSXGOU3AXOIK}

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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

Pseudo-isotopy versus isotopy for homeomorphisms of 4-manifolds

Receipt and verification

First computed	2026-07-05T10:57:30.486791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864cd0eba7828cbc02b2b99d4d82ee429654f02bf656f75c394fe0583831bd67

Aliases

arxiv: 2412.07467 · arxiv_version: 2412.07467v1 · doi: 10.48550/arxiv.2412.07467 · pith_short_12: QZGNB25HQKGL · pith_short_16: QZGNB25HQKGLYAVS · pith_short_8: QZGNB25H

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/QZGNB25HQKGLYAVSXGOU3AXOIK \
  | 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: 864cd0eba7828cbc02b2b99d4d82ee429654f02bf656f75c394fe0583831bd67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ebebe8cb458ef52fc211e8f6f197d287ac0b9aaf546eb778a58d9093815a0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-12-10T12:35:26Z",
    "title_canon_sha256": "312a1394c238f92b55a003d036b091f4ff2228d0a375a9f97a4bf8d5ade4c20e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07467",
    "kind": "arxiv",
    "version": 1
  }
}