Pith Number

pith:LVD2T564

pith:2017:LVD2T564SJWM2RSVYOV5HJNVO5

not attested not anchored not stored refs pending

Plane wave formulas for spherical, complex and symplectic harmonics

Frank Sommen, Hendrik De Bie, Michael Wutzig

arxiv:1702.00611 v2 · 2017-02-02 · 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{LVD2T564SJWM2RSVYOV5HJNVO5}

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	2026-05-18T00:38:41.798131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d47a9f7dc926ccd4655c3abd3a5b577613b7a407c006c66d689e1e45c26c04d

Aliases

arxiv: 1702.00611 · arxiv_version: 1702.00611v2 · doi: 10.48550/arxiv.1702.00611 · pith_short_12: LVD2T564SJWM · pith_short_16: LVD2T564SJWM2RSV · pith_short_8: LVD2T564

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/LVD2T564SJWM2RSVYOV5HJNVO5 \
  | 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: 5d47a9f7dc926ccd4655c3abd3a5b577613b7a407c006c66d689e1e45c26c04d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f5bb4d298fcf5e4527cb8d51b984f553624a2262526bc54536ce071b531cea2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-02T10:40:51Z",
    "title_canon_sha256": "86c4cfcde870c4dafb60a3729ec62e5b47b18da5b553594de262d23a50318319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00611",
    "kind": "arxiv",
    "version": 2
  }
}