Pith Number

pith:2PRYX4D5

pith:2019:2PRYX4D5OXDVEFVE6L5WRDR3T7

not attested not anchored not stored refs pending

Intertwining Operator for $Sp(4,\mathbb{R})$ and Orthogonal Polynomials

Zhuohui Zhang

arxiv:1909.01510 v1 · 2019-09-04 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PRYX4D5OXDVEFVE6L5WRDR3T7}

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	2026-07-05T00:02:17.041978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3e38bf07d75c75216a4f2fb688e3b9fc8b1fe25ef890101d0aa97c3e025f41d

Aliases

arxiv: 1909.01510 · arxiv_version: 1909.01510v1 · doi: 10.48550/arxiv.1909.01510 · pith_short_12: 2PRYX4D5OXDV · pith_short_16: 2PRYX4D5OXDVEFVE · pith_short_8: 2PRYX4D5

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/2PRYX4D5OXDVEFVE6L5WRDR3T7 \
  | 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: d3e38bf07d75c75216a4f2fb688e3b9fc8b1fe25ef890101d0aa97c3e025f41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c45e8aca16c909c1472e06dea48f679930c7eb1e72b1ce003486023639bdf90f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-09-04T01:06:54Z",
    "title_canon_sha256": "d7746f03900ed752e0b6193c0f178068bc6cfe2fbdccaa95dd796322dfaa25f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01510",
    "kind": "arxiv",
    "version": 1
  }
}