Pith Number

pith:RFDED2TX

pith:2003:RFDED2TX7G324JUXNWNRU4YYHD

not attested not anchored not stored refs pending

No quantum ergodicity for star graphs

B. Winn, G. Berkolaiko, J.P. Keating

arxiv:math-ph/0308005 v1 · 2003-08-05 · math-ph · math.MP · 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{RFDED2TX7G324JUXNWNRU4YYHD}

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	2026-05-18T04:10:47.351803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

894641ea77f9b7ae26976d9b1a731838f275868d58bc272f81cdbe9a3cae7e18

Aliases

arxiv: math-ph/0308005 · arxiv_version: math-ph/0308005v1 · doi: 10.48550/arxiv.math-ph/0308005 · pith_short_12: RFDED2TX7G32 · pith_short_16: RFDED2TX7G324JUX · pith_short_8: RFDED2TX

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/RFDED2TX7G324JUXNWNRU4YYHD \
  | 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: 894641ea77f9b7ae26976d9b1a731838f275868d58bc272f81cdbe9a3cae7e18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fc8dc673deeba81f199b1a671bac8aa4d96c9d00e9a6581dc5aad695a498e2",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-08-05T11:25:51Z",
    "title_canon_sha256": "825186bafba637f51add528f4f50c29d3c106ea96446779fae9924da2ffb6632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0308005",
    "kind": "arxiv",
    "version": 1
  }
}