Pith Number

pith:MNPXVS45

pith:2013:MNPXVS45D3WVTA2YAVXSIXOVNH

not attested not anchored not stored refs pending

H\"{o}lder Continuity of the Spectral Measures for One-Dimensional Schr\"{o}dinger Operator in Exponential Regime

Wencai Liu, Xiaoping Yuan

arxiv:1311.0669 v1 · 2013-11-04 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNPXVS45D3WVTA2YAVXSIXOVNH}

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	2026-05-18T00:17:55.673700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

635f7acb9d1eed598358056f245dd569d0f996a432d227f11c829e2571133f81

Aliases

arxiv: 1311.0669 · arxiv_version: 1311.0669v1 · doi: 10.48550/arxiv.1311.0669 · pith_short_12: MNPXVS45D3WV · pith_short_16: MNPXVS45D3WVTA2Y · pith_short_8: MNPXVS45

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/MNPXVS45D3WVTA2YAVXSIXOVNH \
  | 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: 635f7acb9d1eed598358056f245dd569d0f996a432d227f11c829e2571133f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbaeaaf4087e2906fc3a023503f6280903204bb9fbbf375b274a64e1060238e9",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-11-04T12:18:16Z",
    "title_canon_sha256": "be9283eb005285ed83d3559c7ef6b5f18162856b92f2b4c975c80f3a855f3bb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0669",
    "kind": "arxiv",
    "version": 1
  }
}