Pith Number

pith:EUNHMOZP

pith:2024:EUNHMOZPKGS7U7IA7SOHVO3TCG

not attested not anchored not stored refs pending

Spread Furstenberg Sets

Manik Dhar, Paige Bright

arxiv:2412.18193 v2 · 2024-12-24 · math.CA · 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{EUNHMOZPKGS7U7IA7SOHVO3TCG}

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	2026-07-05T10:30:29.569879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

251a763b2f51a5fa7d00fc9c7abb7311858a70e8d55190e60e7f8fe346c711de

Aliases

arxiv: 2412.18193 · arxiv_version: 2412.18193v2 · doi: 10.48550/arxiv.2412.18193 · pith_short_12: EUNHMOZPKGS7 · pith_short_16: EUNHMOZPKGS7U7IA · pith_short_8: EUNHMOZP

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/EUNHMOZPKGS7U7IA7SOHVO3TCG \
  | 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: 251a763b2f51a5fa7d00fc9c7abb7311858a70e8d55190e60e7f8fe346c711de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bba8876caaf075f9d7ca3bfbd67713768b3462bceb0bd96a67b61db7d6cea0a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-12-24T06:01:17Z",
    "title_canon_sha256": "87be102e844f0cefc295b11e91fe19aa1d9c74dbffbdd5b41d203e41f22fce6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18193",
    "kind": "arxiv",
    "version": 2
  }
}