Pith Number

pith:75ZFN7BS

pith:2025:75ZFN7BSROCJNUSQ3ZPVPUCH4O

not attested not anchored not stored refs pending

Bi-infinite incipient cluster in high dimensions

Alexander Fribergh, Antal A. J\'arai, Manuel Cabezas, Markus Heydenreich

arxiv:2506.06559 v1 · 2025-06-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75ZFN7BSROCJNUSQ3ZPVPUCH4O}

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	2026-07-05T11:17:52.061179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff7256fc328b8496d250de5f57d047e3bfd3a1cfa43726a6a5e1fff20720cdaf

Aliases

arxiv: 2506.06559 · arxiv_version: 2506.06559v1 · doi: 10.48550/arxiv.2506.06559 · pith_short_12: 75ZFN7BSROCJ · pith_short_16: 75ZFN7BSROCJNUSQ · pith_short_8: 75ZFN7BS

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/75ZFN7BSROCJNUSQ3ZPVPUCH4O \
  | 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: ff7256fc328b8496d250de5f57d047e3bfd3a1cfa43726a6a5e1fff20720cdaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4274ce91a4c1ea3584b69cbf8439ed1bc75d3e4fb05a3c6d0c3bb72459110e3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-06T22:14:05Z",
    "title_canon_sha256": "a614a10e0bc0d40715797ccd2dfb243ffc1e6c7770abcb9b54969259781d654b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06559",
    "kind": "arxiv",
    "version": 1
  }
}