Pith Number

pith:5QBAZNCE

pith:2013:5QBAZNCEO7IJCSN2PD7WBPF7UU

not attested not anchored not stored refs pending

Band structure of the Ruelle spectrum of contact Anosov flows

Fr\'ed\'eric Faure (IF), Masato Tsujii

arxiv:1301.5525 v3 · 2013-01-23 · math.DS · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QBAZNCEO7IJCSN2PD7WBPF7UU}

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	2026-05-18T03:22:17.125374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec020cb44477d09149ba78ff60bcbfa53067d039cb1b0ff6f3203d7f2b208820

Aliases

arxiv: 1301.5525 · arxiv_version: 1301.5525v3 · doi: 10.48550/arxiv.1301.5525 · pith_short_12: 5QBAZNCEO7IJ · pith_short_16: 5QBAZNCEO7IJCSN2 · pith_short_8: 5QBAZNCE

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/5QBAZNCEO7IJCSN2PD7WBPF7UU \
  | 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: ec020cb44477d09149ba78ff60bcbfa53067d039cb1b0ff6f3203d7f2b208820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec0381aa7937ade118ca9e3eade1030bdd18fa9017140d09ca1f6c8b9238d89c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-23T15:02:14Z",
    "title_canon_sha256": "0972983b5112c1cef91e94d8c347038970980565819a74a937c62908676ac25c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5525",
    "kind": "arxiv",
    "version": 3
  }
}