Pith Number

pith:6Z5LGMVJ

pith:2015:6Z5LGMVJPIV5PJUJY6OK3J4SVW

not attested not anchored not stored refs pending

Quasi-Periodic Schr\"odinger Cocycles with Positive Lyapunov Exponent are not Open in the Smooth Topology

Jiangong You, Yiqian Wang

arxiv:1501.05380 v1 · 2015-01-22 · 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{6Z5LGMVJPIV5PJUJY6OK3J4SVW}

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	2026-05-18T02:28:54.710256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f67ab332a97a2bd7a689c79cada792ada1f814dcc09e03fef9bdc12d6313f391

Aliases

arxiv: 1501.05380 · arxiv_version: 1501.05380v1 · doi: 10.48550/arxiv.1501.05380 · pith_short_12: 6Z5LGMVJPIV5 · pith_short_16: 6Z5LGMVJPIV5PJUJ · pith_short_8: 6Z5LGMVJ

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/6Z5LGMVJPIV5PJUJY6OK3J4SVW \
  | 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: f67ab332a97a2bd7a689c79cada792ada1f814dcc09e03fef9bdc12d6313f391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "210a61ebe41af5dc5b41d875a3045f4d97d3d0292788620fc1cf8ca24e6c0d61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-22T03:19:51Z",
    "title_canon_sha256": "1a6280f0796afb1203e209fd36999d0d4aef4115e8d94d807301e6c3ac2c0994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05380",
    "kind": "arxiv",
    "version": 1
  }
}