Pith Number

pith:ZU3QDU6A

pith:2018:ZU3QDU6AP3JEE6O5SFNTICNMV4

not attested not anchored not stored refs pending

Szeg\"o-type Theorems for One-Dimensional Schrodinger Operator with Random Potential (smooth case)

L. Pastur, M. Shcherbina

arxiv:1809.04813 v1 · 2018-09-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZU3QDU6AP3JEE6O5SFNTICNMV4}

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	2026-05-18T00:05:49.547736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd3701d3c07ed24279dd915b3409acaf222983f3e42589ef3fc1b49dfba66dd6

Aliases

arxiv: 1809.04813 · arxiv_version: 1809.04813v1 · doi: 10.48550/arxiv.1809.04813 · pith_short_12: ZU3QDU6AP3JE · pith_short_16: ZU3QDU6AP3JEE6O5 · pith_short_8: ZU3QDU6A

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/ZU3QDU6AP3JEE6O5SFNTICNMV4 \
  | 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: cd3701d3c07ed24279dd915b3409acaf222983f3e42589ef3fc1b49dfba66dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b46b5812f03ff0a02da48cf8bb0aaee2f62b1ac081f8471563442c386a55ac",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-09-13T07:42:43Z",
    "title_canon_sha256": "6b906af99fc956688c5b6786f9112a85e6b3b8ffac7ad1e6ca513f5ccc113eb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04813",
    "kind": "arxiv",
    "version": 1
  }
}