Pith Number

pith:NZ2PUT3O

pith:2024:NZ2PUT3O335XUNLZF4G4B5TZU3

not attested not anchored not stored refs pending

On variants of the Furstenberg set problem

Jonathan M. Fraser

arxiv:2409.03678 v2 · 2024-09-05 · math.CA · math.CO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZ2PUT3O335XUNLZF4G4B5TZU3}

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

On the packing dimension of unions and extensions of $k$-planes

Receipt and verification

First computed	2026-07-05T09:09:25.518628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e74fa4f6edefb7a35792f0dc0f679a6efa6f84dd392fd03ee6793802a71f1c8

Aliases

arxiv: 2409.03678 · arxiv_version: 2409.03678v2 · doi: 10.48550/arxiv.2409.03678 · pith_short_12: NZ2PUT3O335X · pith_short_16: NZ2PUT3O335XUNLZ · pith_short_8: NZ2PUT3O

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/NZ2PUT3O335XUNLZF4G4B5TZU3 \
  | 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: 6e74fa4f6edefb7a35792f0dc0f679a6efa6f84dd392fd03ee6793802a71f1c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89969ca58b458054309dbe48c631cdad82e7802fe4b7c807dafb8d66ace302ba",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-09-05T16:29:49Z",
    "title_canon_sha256": "34d4552d105b6a43c031151fcd463a5508e4f59f85970f5ac4dadd4fbbd79653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.03678",
    "kind": "arxiv",
    "version": 2
  }
}