Pith Number

pith:R2JDDZS2

pith:2025:R2JDDZS2D4V7WO3RHMDZG4IXFZ

not attested not anchored not stored refs pending

Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials

Netanel Levi

arxiv:2502.03707 v2 · 2025-02-06 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2JDDZS2D4V7WO3RHMDZG4IXFZ}

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	2026-07-05T10:51:59.679816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e9231e65a1f2bfb3b713b079371172e78bad931620642673c829878208c3a52

Aliases

arxiv: 2502.03707 · arxiv_version: 2502.03707v2 · doi: 10.48550/arxiv.2502.03707 · pith_short_12: R2JDDZS2D4V7 · pith_short_16: R2JDDZS2D4V7WO3R · pith_short_8: R2JDDZS2

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/R2JDDZS2D4V7WO3RHMDZG4IXFZ \
  | 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: 8e9231e65a1f2bfb3b713b079371172e78bad931620642673c829878208c3a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c80e6b0cf8bd789d9282cd0b6b81d98476a1b191ff440d9e783b1742acf782",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-02-06T01:40:40Z",
    "title_canon_sha256": "1087d1a3e4c36aafdb1a914085944a3a709a19b7ad8787a7c301024805707620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03707",
    "kind": "arxiv",
    "version": 2
  }
}