Pith Number

pith:HS47JDUJ

pith:2012:HS47JDUJHTQR6CST5PXVMN476Q

not attested not anchored not stored refs pending

Energy separation in oscillatory Hamiltonian systems without any non-resonance condition

Christian Lubich, Ernst Hairer, Ludwig Gauckler

arxiv:1205.2070 v2 · 2012-05-09 · math.DS · math-ph · math.CA · 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{HS47JDUJHTQR6CST5PXVMN476Q}

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	2026-05-18T01:57:35.929234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb9f48e893ce11f0a53ebef56379ff439323a4c8a1410fae743d9b5709d9b90

Aliases

arxiv: 1205.2070 · arxiv_version: 1205.2070v2 · doi: 10.48550/arxiv.1205.2070 · pith_short_12: HS47JDUJHTQR · pith_short_16: HS47JDUJHTQR6CST · pith_short_8: HS47JDUJ

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/HS47JDUJHTQR6CST5PXVMN476Q \
  | 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: 3cb9f48e893ce11f0a53ebef56379ff439323a4c8a1410fae743d9b5709d9b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7176c6b1874765cc8eff5be6f66b85ad3c197dc783f8fc2848d8d9f4bbb392a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-09T19:00:54Z",
    "title_canon_sha256": "16764cae83a11629cf0f3e7d532e4487b4a8070180873321aee91583b280074f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2070",
    "kind": "arxiv",
    "version": 2
  }
}