Pith Number

pith:3K5HM5LW

pith:2012:3K5HM5LWTVTKJGZQ7NLJCJ3XA4

not attested not anchored not stored refs pending

A Reduction Method for Higher Order Variational Equations of Hamiltonian Systems

Ainhoa Aparicio, Jacques-Arthur Weil

arxiv:1206.6345 v1 · 2012-06-27 · math.DS · cs.SC · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3K5HM5LWTVTKJGZQ7NLJCJ3XA4}

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	2026-05-18T03:52:26.925261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daba7675769d66a49b30fb569127770726a61a12a3f6986c713a25005db700da

Aliases

arxiv: 1206.6345 · arxiv_version: 1206.6345v1 · doi: 10.48550/arxiv.1206.6345 · pith_short_12: 3K5HM5LWTVTK · pith_short_16: 3K5HM5LWTVTKJGZQ · pith_short_8: 3K5HM5LW

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/3K5HM5LWTVTKJGZQ7NLJCJ3XA4 \
  | 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: daba7675769d66a49b30fb569127770726a61a12a3f6986c713a25005db700da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da800a5971a6176596f641abd75d2b25958d6a6411edbd0b0b98d6b01d531980",
    "cross_cats_sorted": [
      "cs.SC",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-27T17:38:40Z",
    "title_canon_sha256": "068e5c7e1e4f69c7e4424519bc4c34187249b22a9fc15481b0d38ab2182855fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6345",
    "kind": "arxiv",
    "version": 1
  }
}