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Pith Number

pith:PKL5DG67

pith:2015:PKL5DG67UNCKJMOTVR5XDO2BPN
not attested not anchored not stored refs pending

Multivariate orthogonal Laurent polynomials and integrable systems

Gerardo Ariznabarreta, Manuel Ma\~nas

arxiv:1506.08708 v2 · 2015-06-29 · math.CA · math-ph · math.AG · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PKL5DG67UNCKJMOTVR5XDO2BPN}

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 2026-05-18T01:37:34.358311Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7a97d19bdfa344a4b1d3ac7b71bb417b6090c16adb664e3bcbe93aba5015ceb7

Aliases

arxiv: 1506.08708 · arxiv_version: 1506.08708v2 · doi: 10.48550/arxiv.1506.08708 · pith_short_12: PKL5DG67UNCK · pith_short_16: PKL5DG67UNCKJMOT · pith_short_8: PKL5DG67
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PKL5DG67UNCKJMOTVR5XDO2BPN \
  | 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: 7a97d19bdfa344a4b1d3ac7b71bb417b6090c16adb664e3bcbe93aba5015ceb7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d961f89a40d6ff80a36e5034a95480b3edde93bd46dbe87335bd03da3bdbadde",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-29T16:07:52Z",
    "title_canon_sha256": "58a903978a7c4817806c146cb73752a893f8c8d269292a4995067e9e1aa04e9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08708",
    "kind": "arxiv",
    "version": 2
  }
}