Pith Number

pith:TGH6WD2M

pith:2018:TGH6WD2MGSPBWTBZTZOMFUYNI6

not attested not anchored not stored refs pending

H\"older continuity of Lyapunov exponent for a family of smooth Schr\"odinger cocycles

Jiangong You, Jinhao Liang, Yiqian Wang

arxiv:1806.03284 v1 · 2018-06-08 · 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{TGH6WD2MGSPBWTBZTZOMFUYNI6}

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	2026-05-18T00:13:48.884935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998feb0f4c349e1b4c399e5cc2d30d478b7e6b6c432a73f89bc5e2f39b8fad29

Aliases

arxiv: 1806.03284 · arxiv_version: 1806.03284v1 · doi: 10.48550/arxiv.1806.03284 · pith_short_12: TGH6WD2MGSPB · pith_short_16: TGH6WD2MGSPBWTBZ · pith_short_8: TGH6WD2M

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/TGH6WD2MGSPBWTBZTZOMFUYNI6 \
  | 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: 998feb0f4c349e1b4c399e5cc2d30d478b7e6b6c432a73f89bc5e2f39b8fad29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df4d033344a19483a09c0678b556fd6f48319e9a5fda3fd37cd632899696fcbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-08T17:28:10Z",
    "title_canon_sha256": "c94b7568f3620f4b5c58653741c2cce491e3d292c89c6c310ffa3875fca92741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03284",
    "kind": "arxiv",
    "version": 1
  }
}