Pith Number

pith:GD6642HI

pith:2010:GD6642HIJCZLNCK5V2OWZAIKNK

not attested not anchored not stored refs pending

Upper bound on the density of Ruelle resonances for Anosov flows

Fr\'ed\'eric Faure (IF), Johannes Sjoestrand (IMB)

arxiv:1003.0513 v1 · 2010-03-02 · math-ph · math.DS · 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{GD6642HIJCZLNCK5V2OWZAIKNK}

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	2026-05-18T02:08:47.739735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30fdee68e848b2b6895dae9d6c810a6ab8a101721583dc26ca05923f6361c658

Aliases

arxiv: 1003.0513 · arxiv_version: 1003.0513v1 · doi: 10.48550/arxiv.1003.0513 · pith_short_12: GD6642HIJCZL · pith_short_16: GD6642HIJCZLNCK5 · pith_short_8: GD6642HI

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/GD6642HIJCZLNCK5V2OWZAIKNK \
  | 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: 30fdee68e848b2b6895dae9d6c810a6ab8a101721583dc26ca05923f6361c658

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0478f9d4ff5fff9bec71b487e85027d9c0b13b1477bb681a22c392a44038e59",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-02T07:31:21Z",
    "title_canon_sha256": "8a234444cfca020b2341abc791df4923a8a0154e988ff715d7d015b84f5b9deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0513",
    "kind": "arxiv",
    "version": 1
  }
}