Pith Number

pith:RVWB6G26

pith:2025:RVWB6G26GATUQQLXWDUJ56ODOE

not attested not anchored not stored refs pending

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$

el Houcein el Abdalaoui

arxiv:2509.04212 v1 · 2025-09-04 · math.NT · 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{RVWB6G26GATUQQLXWDUJ56ODOE}

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	2026-07-05T12:04:55.545234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d6c1f1b5e3027484177b0e89ef9c3712f17df32d393007cec0ee1830b70c070

Aliases

arxiv: 2509.04212 · arxiv_version: 2509.04212v1 · doi: 10.48550/arxiv.2509.04212 · pith_short_12: RVWB6G26GATU · pith_short_16: RVWB6G26GATUQQLX · pith_short_8: RVWB6G26

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/RVWB6G26GATUQQLXWDUJ56ODOE \
  | 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: 8d6c1f1b5e3027484177b0e89ef9c3712f17df32d393007cec0ee1830b70c070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d698368b6ab73d4ad04358cf266219056431a90ec9192178812ec33374a4a3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-04T13:37:45Z",
    "title_canon_sha256": "247583deed9a626afa320baa92f2b16782a14f9a522351fb93c4e78c33a78f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04212",
    "kind": "arxiv",
    "version": 1
  }
}