pith. sign in
Pith Number

pith:RCUTEV4W

pith:2011:RCUTEV4WYGZ2TVSJIN5CEBUUJY
not attested not anchored not stored refs pending

Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$

Charles P. Boyer

arxiv:1101.5587 v3 · 2011-01-28 · math.SG · math-ph · math.DG · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RCUTEV4WYGZ2TVSJIN5CEBUUJY}

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 2026-05-18T04:19:55.865526Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

88a9325796c1b3a9d649437a2206944e3d3aed4f78af737aec851b87931dde68

Aliases

arxiv: 1101.5587 · arxiv_version: 1101.5587v3 · doi: 10.48550/arxiv.1101.5587 · pith_short_12: RCUTEV4WYGZ2 · pith_short_16: RCUTEV4WYGZ2TVSJ · pith_short_8: RCUTEV4W
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RCUTEV4WYGZ2TVSJIN5CEBUUJY \
  | 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: 88a9325796c1b3a9d649437a2206944e3d3aed4f78af737aec851b87931dde68
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "423a2ebf49b5df08365ab4d66948513907243ea0b3ea0dae28f651e63fc4d119",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-01-28T17:48:08Z",
    "title_canon_sha256": "114ecb736478311b4ab858e2886d36116c63bd45994573480dc5d95e89fb511a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5587",
    "kind": "arxiv",
    "version": 3
  }
}