Pith Number

pith:DL3UOS6F

pith:2013:DL3UOS6F4UDH5Z4VXAQPZ3ZMGQ

not attested not anchored not stored refs pending

On spectral disjointness of powers for rank-one transformations and M\"obius orthogonality

El Houcein El Abdalaoui (LMRS), Mariusz Lemanczyk, Thierry de la Rue (LMRS)

arxiv:1301.0134 v1 · 2013-01-01 · math.DS · 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{DL3UOS6F4UDH5Z4VXAQPZ3ZMGQ}

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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	2026-05-18T03:07:03.839933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1af7474bc5e5067ee795b820fcef2c34197c8f9e4a38d262d1beae0be4fe0ebe

Aliases

arxiv: 1301.0134 · arxiv_version: 1301.0134v1 · doi: 10.48550/arxiv.1301.0134 · pith_short_12: DL3UOS6F4UDH · pith_short_16: DL3UOS6F4UDH5Z4V · pith_short_8: DL3UOS6F

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/DL3UOS6F4UDH5Z4VXAQPZ3ZMGQ \
  | 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: 1af7474bc5e5067ee795b820fcef2c34197c8f9e4a38d262d1beae0be4fe0ebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89ae0175af0e8463559a686dc6f0143ff39161d0a17e256297527a96f54173a9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-01T20:55:58Z",
    "title_canon_sha256": "d91d681afb1720c53a85558719c4f123b44fe35bb8a4d33bbd37e48db9beeef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0134",
    "kind": "arxiv",
    "version": 1
  }
}