Pith Number

pith:IQG5H3CS

pith:2012:IQG5H3CSA4AJRY56JMYV3Q6FUF

not attested not anchored not stored refs pending

Billiard dynamics near an invariant horizontal circle

Geraldo Cesar Goncalves Ferreira, Sonia Pinto-de-Carvalho, Sylvie Oliffson Kamphorst

arxiv:1208.0511 v2 · 2012-08-02 · math.DS · 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{IQG5H3CSA4AJRY56JMYV3Q6FUF}

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	2026-05-18T02:55:04.400573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

440dd3ec52070098e3be4b315dc3c5a1440b49aec467233ef938e3c7abb10e18

Aliases

arxiv: 1208.0511 · arxiv_version: 1208.0511v2 · doi: 10.48550/arxiv.1208.0511 · pith_short_12: IQG5H3CSA4AJ · pith_short_16: IQG5H3CSA4AJRY56 · pith_short_8: IQG5H3CS

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/IQG5H3CSA4AJRY56JMYV3Q6FUF \
  | 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: 440dd3ec52070098e3be4b315dc3c5a1440b49aec467233ef938e3c7abb10e18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b04a86845a6df2ce04c9ce870491c265771af36f22102333705b17545a40b8c",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-02T14:51:09Z",
    "title_canon_sha256": "459e374811e1c555c61ee4ed1c852bf51242923f4416983eff9530eda60a7027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0511",
    "kind": "arxiv",
    "version": 2
  }
}