Pith Number

pith:3P6RQFH3

pith:2009:3P6RQFH3FTOPPIPLBQ3IXSQ5C7

not attested not anchored not stored refs pending

Closed orbits and spatial density oscillations in the circular billiard

J\'er\^ome Roccia, Matthias Brack

arxiv:0905.0347 v3 · 2009-05-04 · math-ph · cond-mat.other · math.MP · nlin.SI · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3P6RQFH3FTOPPIPLBQ3IXSQ5C7}

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	2026-05-18T02:13:47.938239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbfd1814fb2cdcf7a1eb0c368bca1d17faf2030fbaaf41534f1751ebff6d0011

Aliases

arxiv: 0905.0347 · arxiv_version: 0905.0347v3 · doi: 10.48550/arxiv.0905.0347 · pith_short_12: 3P6RQFH3FTOP · pith_short_16: 3P6RQFH3FTOPPIPL · pith_short_8: 3P6RQFH3

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/3P6RQFH3FTOPPIPLBQ3IXSQ5C7 \
  | 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: dbfd1814fb2cdcf7a1eb0c368bca1d17faf2030fbaaf41534f1751ebff6d0011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92a41828d7b299268744e2ede67b93c3eea2e2f9682dc194c09350adb40fe193",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math.MP",
      "nlin.SI",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-05-04T10:45:48Z",
    "title_canon_sha256": "6ba1988e73976f57e123fd053f9e587c23da60f4cbea75908d0e0075921a5e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0347",
    "kind": "arxiv",
    "version": 3
  }
}