Pith Number

pith:OB7LPGHS

pith:2024:OB7LPGHSS7JAX2DS7LEXOULRSZ

not attested not anchored not stored refs pending

Local spectral estimates and quantitative weak mixing for substitution $\mathbb{Z}$-actions

Alexander I. Bufetov, Boris Solomyak, Juan Marshall-Maldonado

arxiv:2403.12657 v3 · 2024-03-19 · 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{OB7LPGHSS7JAX2DS7LEXOULRSZ}

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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.

Cited by

1 paper in Pith

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum

Receipt and verification

First computed	2026-07-05T10:16:58.211282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707eb798f297d20be872fac9775171966bf056e266af3f4eb3bd12afb0545ba9

Aliases

arxiv: 2403.12657 · arxiv_version: 2403.12657v3 · doi: 10.48550/arxiv.2403.12657 · pith_short_12: OB7LPGHSS7JA · pith_short_16: OB7LPGHSS7JAX2DS · pith_short_8: OB7LPGHS

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/OB7LPGHSS7JAX2DS7LEXOULRSZ \
  | 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: 707eb798f297d20be872fac9775171966bf056e266af3f4eb3bd12afb0545ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df50fdb951acfb18bb0cff2937f28f9016ca94f3956bd33ada38961066599a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-03-19T11:48:18Z",
    "title_canon_sha256": "05d7d881746d680744cecadec416878af69bce0e3265742ada008224997ac785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.12657",
    "kind": "arxiv",
    "version": 3
  }
}