Pith Number

pith:4F23654L

pith:2014:4F23654LVULYSPFZYD5XA7YN7E

not attested not anchored not stored refs pending

Extended States for the Schr\"odinger Operator with Quasi-periodic Potential in Dimension Two

Roman Shterenberg, Yulia Karpeshina

arxiv:1408.5660 v1 · 2014-08-25 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4F23654LVULYSPFZYD5XA7YN7E}

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	2026-05-18T02:44:24.613550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e175bf778bad17893cb9c0fb707f0df918ed57c420ddf12187b6fec15dac0ada

Aliases

arxiv: 1408.5660 · arxiv_version: 1408.5660v1 · doi: 10.48550/arxiv.1408.5660 · pith_short_12: 4F23654LVULY · pith_short_16: 4F23654LVULYSPFZ · pith_short_8: 4F23654L

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/4F23654LVULYSPFZYD5XA7YN7E \
  | 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: e175bf778bad17893cb9c0fb707f0df918ed57c420ddf12187b6fec15dac0ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d967e3bdbc109f3c78305d377453be18176611a978034a323ff9cc4dd4ff00",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-08-25T04:35:25Z",
    "title_canon_sha256": "00edfbe8f8bef0e0aa7346aae99d925241472be8d4527ed41f1ba1c4ffd77702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5660",
    "kind": "arxiv",
    "version": 1
  }
}