Pith Number

pith:BAYTKBIU

pith:2011:BAYTKBIUWCF6KX6IBE24AI3STN

not attested not anchored not stored refs pending

Non-integrability Criterium for Normal Variational Equations around an integrable Subsystem and an example: The Wilbeforce spring-pendulum

David Bl\'azquez-Sanz, Joaqu\'in Delgado, Martha Alvarez--Ram\'irez, Primitivo B. Acosta-Hum\'anez

arxiv:1104.0312 v2 · 2011-04-02 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BAYTKBIUWCF6KX6IBE24AI3STN}

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	2026-05-18T04:01:23.782628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0831350514b08be55fc80935c023729b46942bc4c7775a97bf415b66cc9d3ad9

Aliases

arxiv: 1104.0312 · arxiv_version: 1104.0312v2 · doi: 10.48550/arxiv.1104.0312 · pith_short_12: BAYTKBIUWCF6 · pith_short_16: BAYTKBIUWCF6KX6I · pith_short_8: BAYTKBIU

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/BAYTKBIUWCF6KX6IBE24AI3STN \
  | 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: 0831350514b08be55fc80935c023729b46942bc4c7775a97bf415b66cc9d3ad9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176104ec75254ce8a33cc9188b1e654d334358915a78ebe5defa0449bb9d7069",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-04-02T13:21:18Z",
    "title_canon_sha256": "5f3da084f0c1d0678827384380ebcdd740ae2a1d7ea45dd8c04c5fcc0c2928d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0312",
    "kind": "arxiv",
    "version": 2
  }
}