Pith Number

pith:RDSGXEDE

pith:2015:RDSGXEDECVO6L5U6MH6P5DCW7U

not attested not anchored not stored refs pending

Orthogonality Measure on the Torus for Vector-Valued Jack Polynomials

Charles F. Dunkl

arxiv:1511.06721 v3 · 2015-11-20 · math.RT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RDSGXEDECVO6L5U6MH6P5DCW7U}

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	2026-05-18T01:18:14.078271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88e46b9064155de5f69e61fcfe8c56fd26c9e7a621f3e884977c4a2490b3eea3

Aliases

arxiv: 1511.06721 · arxiv_version: 1511.06721v3 · doi: 10.48550/arxiv.1511.06721 · pith_short_12: RDSGXEDECVO6 · pith_short_16: RDSGXEDECVO6L5U6 · pith_short_8: RDSGXEDE

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/RDSGXEDECVO6L5U6MH6P5DCW7U \
  | 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: 88e46b9064155de5f69e61fcfe8c56fd26c9e7a621f3e884977c4a2490b3eea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad242060e3b3f9db524fbc6b176200b19420c5f48bdb7807018e17e4f345aff0",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-11-20T18:37:07Z",
    "title_canon_sha256": "2650cd35e29226ccbef203ac756545c2887ef7ed965b2712212647c0a09e9bdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06721",
    "kind": "arxiv",
    "version": 3
  }
}