Pith Number

pith:N7UK2RF6

pith:2024:N7UK2RF6BZLH5RULGIAXGYXU2R

not attested not anchored not stored refs pending

Van der Corput and metric theorems for geometric progressions for self-similar measures

Amir Algom, Meng Wu, Yuanyang Chang, Yu-Liang Wu

arxiv:2401.01120 v1 · 2024-01-02 · 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{N7UK2RF6BZLH5RULGIAXGYXU2R}

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	2026-07-05T07:29:34.281617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe8ad44be0e567ec68b32017362f4d46b5751ca8d6bd481c4661c4a8a5cb2e7

Aliases

arxiv: 2401.01120 · arxiv_version: 2401.01120v1 · doi: 10.48550/arxiv.2401.01120 · pith_short_12: N7UK2RF6BZLH · pith_short_16: N7UK2RF6BZLH5RUL · pith_short_8: N7UK2RF6

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/N7UK2RF6BZLH5RULGIAXGYXU2R \
  | 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: 6fe8ad44be0e567ec68b32017362f4d46b5751ca8d6bd481c4661c4a8a5cb2e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de9ad9ecabf3f9b9e03c69aeab33a9fdf451fd302f508daaec3c578482a85222",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-01-02T09:36:31Z",
    "title_canon_sha256": "482048060d37683a634bb86d7125d23e6a78a0d778279c9af747a7cb4530c7cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.01120",
    "kind": "arxiv",
    "version": 1
  }
}