Pith. sign in
Pith Number

pith:4CR5LVWT

pith:2019:4CR5LVWTGBCQKBVZX6K74XK7UD
not attested not anchored not stored refs pending

KP hierarchy and trigonometric Calogero-Moser hierarchy

A. Zabrodin

arxiv:1906.09846 v1 · 2019-06-24 · math-ph · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4CR5LVWTGBCQKBVZX6K74XK7UD}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T01:03:59.599507Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e0a3d5d6d330450506b9bf95fe5d5fa0fe0c57691155627e55619b614fe5ffe9

Aliases

arxiv: 1906.09846 · arxiv_version: 1906.09846v1 · doi: 10.48550/arxiv.1906.09846 · pith_short_12: 4CR5LVWTGBCQ · pith_short_16: 4CR5LVWTGBCQKBVZ · pith_short_8: 4CR5LVWT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4CR5LVWTGBCQKBVZX6K74XK7UD \
  | 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: e0a3d5d6d330450506b9bf95fe5d5fa0fe0c57691155627e55619b614fe5ffe9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d0f263ee0e60769675db668dd40ae6e4a1a6c832ae04ee040011db5877fb31fa",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-24T10:45:37Z",
    "title_canon_sha256": "7da7abb1514265a6c3adab977c3ca7782ec9d2ac386a70c5a424b56164ed7b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09846",
    "kind": "arxiv",
    "version": 1
  }
}