Pith Number

pith:MZUHNEFJ

pith:2025:MZUHNEFJGZ7D4N3AS7IQM65OMH

not attested not anchored not stored refs pending

Recent progress on pointwise normality of self-similar measures

Amir Algom

arxiv:2504.18192 v1 · 2025-04-25 · math.DS · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZUHNEFJGZ7D4N3AS7IQM65OMH}

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	2026-07-05T10:54:03.516598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66687690a9367e3e376097d1067bae61d0c0cde1493203b2e32c422aa5a3c580

Aliases

arxiv: 2504.18192 · arxiv_version: 2504.18192v1 · doi: 10.48550/arxiv.2504.18192 · pith_short_12: MZUHNEFJGZ7D · pith_short_16: MZUHNEFJGZ7D4N3A · pith_short_8: MZUHNEFJ

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/MZUHNEFJGZ7D4N3AS7IQM65OMH \
  | 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: 66687690a9367e3e376097d1067bae61d0c0cde1493203b2e32c422aa5a3c580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2130a70b1bc55b12ce0449357f12082c616e5dfa895f42ef45c79e76e72ddc39",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-04-25T09:10:36Z",
    "title_canon_sha256": "ceeb3e18a03511028a77e8ac34e8ee47e29d0c58016ba298d75d6be7b0f3fe90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.18192",
    "kind": "arxiv",
    "version": 1
  }
}