Pith Number

pith:HPLH2ARQ

pith:2010:HPLH2ARQV2SANNU32JTS6V7PWJ

not attested not anchored not stored refs pending

Double Affine Hecke Algebras of Rank 1 and the $Z_3$-Symmetric Askey-Wilson Relations

Paul Terwilliger, Tatsuro Ito

arxiv:1001.2764 v2 · 2010-01-15 · math.RA · 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{HPLH2ARQV2SANNU32JTS6V7PWJ}

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	2026-05-18T04:42:12.387291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd67d0230aea406b69bd2672f57efb2656455001f3447762bd1d4f9a356d765

Aliases

arxiv: 1001.2764 · arxiv_version: 1001.2764v2 · doi: 10.48550/arxiv.1001.2764 · pith_short_12: HPLH2ARQV2SA · pith_short_16: HPLH2ARQV2SANNU3 · pith_short_8: HPLH2ARQ

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/HPLH2ARQV2SANNU32JTS6V7PWJ \
  | 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: 3bd67d0230aea406b69bd2672f57efb2656455001f3447762bd1d4f9a356d765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "869f6fdda588202c69ebe2ccc1f1a8a863ea9582cc0d3cfc661a152603a1059d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-01-15T20:42:33Z",
    "title_canon_sha256": "1abdf5cf482cb9dc74ec88610190b9b57578c360d130400e61071258d40183be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2764",
    "kind": "arxiv",
    "version": 2
  }
}