Pith Number

pith:K642DI62

pith:2005:K642DI62J6CXICE4Z4DBHDK75V

not attested not anchored not stored refs pending

Distribution of resonances for open quantum maps

Maciej Zworski (UC BERKELEY MATHS), St\'ephane Nonnenmacher (SPhT)

arxiv:math-ph/0505034 v4 · 2005-05-11 · math-ph · math.DS · 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{K642DI62J6CXICE4Z4DBHDK75V}

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	2026-05-18T01:08:51.763538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57b9a1a3da4f8574089ccf06138d5fed7c458a460e854d47eb8d4d18b3283b56

Aliases

arxiv: math-ph/0505034 · arxiv_version: math-ph/0505034v4 · doi: 10.48550/arxiv.math-ph/0505034 · pith_short_12: K642DI62J6CX · pith_short_16: K642DI62J6CXICE4 · pith_short_8: K642DI62

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/K642DI62J6CXICE4Z4DBHDK75V \
  | 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: 57b9a1a3da4f8574089ccf06138d5fed7c458a460e854d47eb8d4d18b3283b56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea3800d73b04e332ae979d621c7c69efbdba4f74de042b477ac4880d310f44b",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-05-11T09:41:59Z",
    "title_canon_sha256": "d7483a074757dbc8e92bed8df15963a30115c4b2bc15f25ecebfe72f1c262ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0505034",
    "kind": "arxiv",
    "version": 4
  }
}