Pith Number

pith:OP64ZI5U

pith:1995:OP64ZI5U7GLSQJSFGDVUFVH6AK

not attested not anchored not stored refs pending

Exact operator solution of the Calogero-Sutherland model

Luc Lapointe, Luc Vinet

arxiv:q-alg/9509003 v1 · 1995-09-05 · q-alg · math.CA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OP64ZI5U7GLSQJSFGDVUFVH6AK}

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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

2 papers in Pith

Medicine show: A Calogero model with principal series states

Non-commutative creation operators for symmetric polynomials

Receipt and verification

First computed	2026-07-04T15:59:56.007432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73fdcca3b4f99728264530eb42d4fe02bef3026c3d39e3ad0ded39bcd954c8fe

Aliases

arxiv: q-alg/9509003 · arxiv_version: q-alg/9509003v1 · doi: 10.48550/arxiv.q-alg/9509003 · pith_short_12: OP64ZI5U7GLS · pith_short_16: OP64ZI5U7GLSQJSF · pith_short_8: OP64ZI5U

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/OP64ZI5U7GLSQJSFGDVUFVH6AK \
  | 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: 73fdcca3b4f99728264530eb42d4fe02bef3026c3d39e3ad0ded39bcd954c8fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0028151427de8ff55eb8a89a3d929e8da83b4415a01074221c93e921719a89",
    "cross_cats_sorted": [
      "math.CA",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1995-09-05T04:39:18Z",
    "title_canon_sha256": "68ccf89fa1af61de2f8164cd38b99005e2b4311b5458be61635868057ed59dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9509003",
    "kind": "arxiv",
    "version": 1
  }
}