Pith Number

pith:TJONMK5A

pith:2004:TJONMK5ALZBIR3OUYMYPSCPQ27

not attested not anchored not stored refs pending

The First Birkhoff Coefficient and the Stability of 2-Periodic Orbits on Billiards

Brasil), Sonia Pinto de Carvalho (Departamento de Matematica UFMG, Sylvie Oliffson Kamphorst

arxiv:nlin/0410019 v1 · 2004-10-14 · nlin.CD · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJONMK5ALZBIR3OUYMYPSCPQ27}

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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.

Cited by

1 paper in Pith

From bungee to $C^1$ and $C^0$ Hamiltonian systems and their integrability and nonintegrability

Receipt and verification

First computed	2026-07-04T14:42:01.141860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a5cd62ba05e4288edd4c330f909f0d7f7590bafed155ca4e69c1b69c507bb49

Aliases

arxiv: nlin/0410019 · arxiv_version: nlin/0410019v1 · doi: 10.48550/arxiv.nlin/0410019 · pith_short_12: TJONMK5ALZBI · pith_short_16: TJONMK5ALZBIR3OU · pith_short_8: TJONMK5A

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/TJONMK5ALZBIR3OUYMYPSCPQ27 \
  | 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: 9a5cd62ba05e4288edd4c330f909f0d7f7590bafed155ca4e69c1b69c507bb49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a9e846183f44f73b92e50121e0db267f5264945d35362550f585f54cacffe43",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2004-10-14T18:46:25Z",
    "title_canon_sha256": "afb805d61f6ac0c07ab6fbd61fb76ac3e6b5b114d6b54d6cfe86d29213819a3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0410019",
    "kind": "arxiv",
    "version": 1
  }
}