Pith Number

pith:ZF4P3PKM

pith:2011:ZF4P3PKMIMGT2S2WSXTLXUOR2A

not attested not anchored not stored refs pending

Stable Manifolds of Saddle Points for Pendulum Dynamics on S^2 and SO(3)

Melvin Leok, N. Harris McClamroch, Taeyoung Lee

arxiv:1103.2822 v1 · 2011-03-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZF4P3PKMIMGT2S2WSXTLXUOR2A}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:22:19.154924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c978fdbd4c430d3d4b5695e6bbd1d1d010714f814b7cf4878334f1829e298d29

Aliases

arxiv: 1103.2822 · arxiv_version: 1103.2822v1 · doi: 10.48550/arxiv.1103.2822 · pith_short_12: ZF4P3PKMIMGT · pith_short_16: ZF4P3PKMIMGT2S2W · pith_short_8: ZF4P3PKM

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/ZF4P3PKMIMGT2S2WSXTLXUOR2A \
  | 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: c978fdbd4c430d3d4b5695e6bbd1d1d010714f814b7cf4878334f1829e298d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94616054af15a371751c3355c42033d8e216f128919d3fe9c0a5161518bc4038",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-15T00:18:20Z",
    "title_canon_sha256": "78e5d204ed9af65956e1aa3019f16deac0023a43633495ef9ef380e1f879808f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2822",
    "kind": "arxiv",
    "version": 1
  }
}