Pith Number

pith:WECDX2NU

pith:2018:WECDX2NUAKJBVPIMSGPYLGYF76

not attested not anchored not stored refs pending

Sharp $\frac12$-H\"older continuity of the Lyapunov exponent at the bottom of the spectrum for a class of Schr\"odinger cocycles

Jordi-Llu\'is Figueras, Thomas Ohlson Timoudas

arxiv:1809.05420 v1 · 2018-09-14 · 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{WECDX2NUAKJBVPIMSGPYLGYF76}

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	2026-05-18T00:05:41.493287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1043be9b402921abd0c919f859b05ffbc96013682e241d5281e3f26cbdee00e

Aliases

arxiv: 1809.05420 · arxiv_version: 1809.05420v1 · doi: 10.48550/arxiv.1809.05420 · pith_short_12: WECDX2NUAKJB · pith_short_16: WECDX2NUAKJBVPIM · pith_short_8: WECDX2NU

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/WECDX2NUAKJBVPIMSGPYLGYF76 \
  | 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: b1043be9b402921abd0c919f859b05ffbc96013682e241d5281e3f26cbdee00e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7427107e169cad728b1c35dc17b6cc9fb1c4cc1bde313c97847ecad04e2d20c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-14T13:47:26Z",
    "title_canon_sha256": "c88da558de4a2ec8c9800dd09db714d65be97117e4bba50c1f73b5e079795676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05420",
    "kind": "arxiv",
    "version": 1
  }
}