Pith Number

pith:DFHPR6IS

pith:2012:DFHPR6ISQWPJVF77PAHH62GDSB

not attested not anchored not stored refs pending

The Multiplicative golden mean shift has infinite Hausdorff measure

Boris Solomyak, Yuval Peres

arxiv:1201.5842 v2 · 2012-01-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFHPR6ISQWPJVF77PAHH62GDSB}

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	2026-05-18T03:57:38.573031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

194ef8f912859e9a97ff780e7f68c3906fe092659f6611f116235bf12eac910b

Aliases

arxiv: 1201.5842 · arxiv_version: 1201.5842v2 · doi: 10.48550/arxiv.1201.5842 · pith_short_12: DFHPR6ISQWPJ · pith_short_16: DFHPR6ISQWPJVF77 · pith_short_8: DFHPR6IS

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/DFHPR6ISQWPJVF77PAHH62GDSB \
  | 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: 194ef8f912859e9a97ff780e7f68c3906fe092659f6611f116235bf12eac910b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16d9f1fd4a76e0575ad91d6e424dfa051ce2313d90066163751b80dd75931ef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-27T17:28:21Z",
    "title_canon_sha256": "33cf286f082dd9030809b96feb7e1ad5083cdb4284921267becc05ce30cb867b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5842",
    "kind": "arxiv",
    "version": 2
  }
}