Pith Number

pith:LO5DFG4F

pith:2000:LO5DFG4FY3TGZ73XCL3CXSEZM2

not attested not anchored not stored refs pending

Orthogonal polynomials associated with root systems

Ian G. Macdonald (Queen Mary, Westfield College)

arxiv:math/0011046 v1 · 2000-11-08 · math.QA · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LO5DFG4FY3TGZ73XCL3CXSEZM2}

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.

Cited by

2 papers in Pith

Integrable systems inspired by DAHA and DIM algebra: type $C^\vee C$ versus type $A$

A note on universality in refined Chern-Simons theory

Receipt and verification

First computed	2026-07-04T14:34:54.614621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bba329b85c6e66cff7712f62bc89966aed8e0f55cdd8d187c880a6b7ffa58b9

Aliases

arxiv: math/0011046 · arxiv_version: math/0011046v1 · doi: 10.48550/arxiv.math/0011046 · pith_short_12: LO5DFG4FY3TG · pith_short_16: LO5DFG4FY3TGZ73X · pith_short_8: LO5DFG4F

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/LO5DFG4FY3TGZ73XCL3CXSEZM2 \
  | 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: 5bba329b85c6e66cff7712f62bc89966aed8e0f55cdd8d187c880a6b7ffa58b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "238b8b4e84c5a1d9be86864e4e995222a0e0b5289d6cc68437eb62b1383fd1a4",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-11-08T13:48:36Z",
    "title_canon_sha256": "670cd56a0ae5c206845d898f019b59579519aefd5b05a9a30bc4495be919efa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0011046",
    "kind": "arxiv",
    "version": 1
  }
}