Pith Number

pith:Q2ELWUKX

pith:1996:Q2ELWUKXA4BFVNSZBSRWZPLYXG

not attested not anchored not stored refs pending

q-Ultraspherical polynomials for q a root of unity

A.Zhedanov (Donetsk Univ), V.Spiridonov (Univ. de Montreal)

arxiv:q-alg/9605033 v1 · 1996-05-21 · q-alg · 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{Q2ELWUKXA4BFVNSZBSRWZPLYXG}

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

1 paper in Pith

Spectral surgery and high-fidelity quantum state transfer in $XX$ chains

Receipt and verification

First computed	2026-07-04T16:02:37.800014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8688bb515707025ab6590ca36cbd78b9894e75d7a862d3b9bbc19148a30e12b6

Aliases

arxiv: q-alg/9605033 · arxiv_version: q-alg/9605033v1 · doi: 10.48550/arxiv.q-alg/9605033 · pith_short_12: Q2ELWUKXA4BF · pith_short_16: Q2ELWUKXA4BFVNSZ · pith_short_8: Q2ELWUKX

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/Q2ELWUKXA4BFVNSZBSRWZPLYXG \
  | 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: 8688bb515707025ab6590ca36cbd78b9894e75d7a862d3b9bbc19148a30e12b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee4a3b96fe61842acee8a5e72db9040a61f0d05c23a959ef2ff99276f9122689",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1996-05-21T22:40:57Z",
    "title_canon_sha256": "6a869c432db1d58771ab9edcc5153084c2bc6124f845fa21ad777a5653d257db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9605033",
    "kind": "arxiv",
    "version": 1
  }
}