Pith Number

pith:YCBYIRW6

pith:2013:YCBYIRW6FID2U7F7QMHAL7SUOK

not attested not anchored not stored refs pending

Quantum Ergodicity for Point Scatterers on Arithmetic Tori

Henrik Ueberschaer, Par Kurlberg

arxiv:1311.1396 v2 · 2013-11-06 · math.AP · math-ph · math.MP · math.NT · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCBYIRW6FID2U7F7QMHAL7SUOK}

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	2026-05-18T02:55:57.143557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0838446de2a07aa7cbf830e05fe5472ba6be993237c62f1159662b573ba27dd

Aliases

arxiv: 1311.1396 · arxiv_version: 1311.1396v2 · doi: 10.48550/arxiv.1311.1396 · pith_short_12: YCBYIRW6FID2 · pith_short_16: YCBYIRW6FID2U7F7 · pith_short_8: YCBYIRW6

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/YCBYIRW6FID2U7F7QMHAL7SUOK \
  | 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: c0838446de2a07aa7cbf830e05fe5472ba6be993237c62f1159662b573ba27dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60755580c42256a660e0b3abb3c97fc3a8cc16fdf353d5801bcda79881fa8620",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-06T13:59:06Z",
    "title_canon_sha256": "b2ec718af0fd85353d22ad2c7764b4685f237400bcc62421d53204dd64e1498e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1396",
    "kind": "arxiv",
    "version": 2
  }
}