Pith Number

pith:7KLZPCF4

pith:2015:7KLZPCF46DRVHD6V3EOO2IY5X7

not attested not anchored not stored refs pending

Ballistic Transport for the Schr\"odinger Operator with Limit-Periodic or Quasi-periodic Potential in Dimension Two

G\"unter Stolz, Roman Shterenberg, Young-Ran Lee, Yulia Karpeshina

arxiv:1507.06523 v2 · 2015-07-23 · 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{7KLZPCF46DRVHD6V3EOO2IY5X7}

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	2026-05-18T00:26:30.958654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa979788bcf0e3538fd5d91ced231dbfe617455a308ddfa7ebeac09b9aad113a

Aliases

arxiv: 1507.06523 · arxiv_version: 1507.06523v2 · doi: 10.48550/arxiv.1507.06523 · pith_short_12: 7KLZPCF46DRV · pith_short_16: 7KLZPCF46DRVHD6V · pith_short_8: 7KLZPCF4

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/7KLZPCF46DRVHD6V3EOO2IY5X7 \
  | 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: fa979788bcf0e3538fd5d91ced231dbfe617455a308ddfa7ebeac09b9aad113a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c7a228479bd8e678e59a10e885ff8f5642669709b83f627035abd61a655c2d7",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-23T15:06:04Z",
    "title_canon_sha256": "03edca2671b4d9c6373886613dca45a3d8b697f70a130e38b4d916dd4946a949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06523",
    "kind": "arxiv",
    "version": 2
  }
}