Pith Number

pith:L6XZ367Q

pith:2005:L6XZ367QICDMN4UGXIG6YNOX7Y

not attested not anchored not stored refs pending

Quantum Ergodicity and Mixing

Steve Zelditch

arxiv:math-ph/0503026 v1 · 2005-03-10 · math-ph · math.AP · 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{L6XZ367QICDMN4UGXIG6YNOX7Y}

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.

Cited by

3 papers in Pith

Classical and quantum chaos in bean- and peanut-shaped billiards

Quantum Mixing and Benjamini-Schramm Convergence of Hyperbolic Surfaces

Provable quantum thermalization without statistical averages

Receipt and verification

First computed	2026-07-04T14:34:05.165815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5faf9dfbf04086c6f286ba0dec35d7fe114e47b15600ff3a2fb8869213267f9e

Aliases

arxiv: math-ph/0503026 · arxiv_version: math-ph/0503026v1 · doi: 10.48550/arxiv.math-ph/0503026 · pith_short_12: L6XZ367QICDM · pith_short_16: L6XZ367QICDMN4UG · pith_short_8: L6XZ367Q

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/L6XZ367QICDMN4UGXIG6YNOX7Y \
  | 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: 5faf9dfbf04086c6f286ba0dec35d7fe114e47b15600ff3a2fb8869213267f9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bd526367808d1b1185c2239aab514e05c2b75c69fbfb9293576f0adea021d05",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-03-10T19:06:11Z",
    "title_canon_sha256": "5ba4a118d8c55d85ace8eaa1e541bab5fd7ec7e9a27ab2f6c49db6de09541b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0503026",
    "kind": "arxiv",
    "version": 1
  }
}