Pith Number

pith:GCWEIZGP

pith:2017:GCWEIZGPLGS3OA2A2RJGPO4AE3

not attested not anchored not stored refs pending

New separated polynomial solutions to the Zernike system on the unit disk and interbasis expansion

Alexander Yakhno, George S. Pogosyan, Kurt Bernardo Wolf

arxiv:1705.08482 v1 · 2017-05-23 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCWEIZGPLGS3OA2A2RJGPO4AE3}

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	2026-05-18T00:33:17.992551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30ac4464cf59a5b70340d45267bb8026d091b1fca634403d2e4d8e711c402c63

Aliases

arxiv: 1705.08482 · arxiv_version: 1705.08482v1 · doi: 10.48550/arxiv.1705.08482 · pith_short_12: GCWEIZGPLGS3 · pith_short_16: GCWEIZGPLGS3OA2A · pith_short_8: GCWEIZGP

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/GCWEIZGPLGS3OA2A2RJGPO4AE3 \
  | 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: 30ac4464cf59a5b70340d45267bb8026d091b1fca634403d2e4d8e711c402c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb16dd717fc9e6b972878e0880f54b0f7d21c4fe33b3751542d751dd3dfdc327",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-23T19:01:34Z",
    "title_canon_sha256": "c911c8696b75cc48171f2b2f0ee5d900253d676ac2a1627cb8a62d8bd79275de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08482",
    "kind": "arxiv",
    "version": 1
  }
}