Pith Number

pith:UPW6NY2J

pith:2004:UPW6NY2JSVDXYPQEYU43EVDFIT

not attested not anchored not stored refs pending

Explicit solution of the (quantum) elliptic Calogero-Sutherland model

Edwin Langmann

arxiv:math-ph/0401029 v3 · 2004-01-14 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPW6NY2JSVDXYPQEYU43EVDFIT}

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	2026-05-18T01:21:23.417928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ede6e34995477c3e04c539b2546544e0072c5e7fb802d7e17027b69508ddda

Aliases

arxiv: math-ph/0401029 · arxiv_version: math-ph/0401029v3 · doi: 10.48550/arxiv.math-ph/0401029 · pith_short_12: UPW6NY2JSVDX · pith_short_16: UPW6NY2JSVDXYPQE · pith_short_8: UPW6NY2J

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/UPW6NY2JSVDXYPQEYU43EVDFIT \
  | 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: a3ede6e34995477c3e04c539b2546544e0072c5e7fb802d7e17027b69508ddda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e193a2dfd3da8a9397c7f304c4a2129590f1820477a4583885849a36b30116",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2004-01-14T14:48:09Z",
    "title_canon_sha256": "2d883a4faa98d34c005f5728a86c956ce02e68b014108900a9505451e27746f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0401029",
    "kind": "arxiv",
    "version": 3
  }
}