Pith Number

pith:HZ56S3L7

pith:2009:HZ56S3L7ZBMWQRCVV4G5THVAFS

not attested not anchored not stored refs pending

Semiclassical gaps in the density of states of chaotic Andreev billiards

Cyril Petitjean, Daniel Waltner, Gregory Berkolaiko, Jack Kuipers, Klaus Richter

arxiv:0907.2660 v3 · 2009-07-15 · cond-mat.mes-hall · nlin.CD · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZ56S3L7ZBMWQRCVV4G5THVAFS}

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	2026-05-18T03:31:54.677503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e7be96d7fc859684455af0dd99ea02cb07cd29b5b7ff76e9f93bbd9dc2afccb

Aliases

arxiv: 0907.2660 · arxiv_version: 0907.2660v3 · doi: 10.48550/arxiv.0907.2660 · pith_short_12: HZ56S3L7ZBMW · pith_short_16: HZ56S3L7ZBMWQRCV · pith_short_8: HZ56S3L7

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/HZ56S3L7ZBMWQRCVV4G5THVAFS \
  | 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: 3e7be96d7fc859684455af0dd99ea02cb07cd29b5b7ff76e9f93bbd9dc2afccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d2a896e95d10ade4f3fb3e6a9918e3f57556e23dbeeeb0d5b82ea2dc173878",
    "cross_cats_sorted": [
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2009-07-15T17:13:15Z",
    "title_canon_sha256": "5a776d4d4b55b5b5ad4736d3d904d1e5d99ea79567a3b347d18d353e97923f16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2660",
    "kind": "arxiv",
    "version": 3
  }
}