Pith Number

pith:G5RGPDLW

pith:2010:G5RGPDLWFOBM5B2Y5SYFH44CLM

not attested not anchored not stored refs pending

The dimension of weakly mean porous measures: a probabilistic approach

Pablo Shmerkin

arxiv:1010.1394 v1 · 2010-10-07 · math.CA · math.DS · 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{G5RGPDLWFOBM5B2Y5SYFH44CLM}

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	2026-05-18T03:30:12.805856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3762678d762b82ce8758ecb053f3825b0eecf42c686f9da3c83bf294e367f0ad

Aliases

arxiv: 1010.1394 · arxiv_version: 1010.1394v1 · doi: 10.48550/arxiv.1010.1394 · pith_short_12: G5RGPDLWFOBM · pith_short_16: G5RGPDLWFOBM5B2Y · pith_short_8: G5RGPDLW

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/G5RGPDLWFOBM5B2Y5SYFH44CLM \
  | 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: 3762678d762b82ce8758ecb053f3825b0eecf42c686f9da3c83bf294e367f0ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fefabf3d0d6c14301aba7ab53ea855f5559ea6b58753b2baec27315f8f539d85",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-07T10:53:37Z",
    "title_canon_sha256": "4344db5016a9838989590c1f82d46c0ee5e6f59ef88dea1322562bba01bca1c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1394",
    "kind": "arxiv",
    "version": 1
  }
}