Pith Number

pith:KLPZE4OX

pith:2006:KLPZE4OXMBVC7ICHUIJRF7MTB7

not attested not anchored not stored refs pending

Generalized Ellipsoidal and Sphero-Conal Harmonics

Hans Volkmer

arxiv:math/0610718 v1 · 2006-10-24 · math.CA · 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{KLPZE4OXMBVC7ICHUIJRF7MTB7}

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	2026-07-04T15:11:06.164570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52df9271d7606a2fa047a21312fd930ff6faea697500fe1e4f357eb1a58aeb8c

Aliases

arxiv: math/0610718 · arxiv_version: math/0610718v1 · doi: 10.48550/arxiv.math/0610718 · pith_short_12: KLPZE4OXMBVC · pith_short_16: KLPZE4OXMBVC7ICH · pith_short_8: KLPZE4OX

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/KLPZE4OXMBVC7ICHUIJRF7MTB7 \
  | 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: 52df9271d7606a2fa047a21312fd930ff6faea697500fe1e4f357eb1a58aeb8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33af7a098316d01bdc2688798e47ba394b9dfa5d5ecb5180c11ccc92096e241b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-10-24T09:33:57Z",
    "title_canon_sha256": "5009a7a6889d304fd9649d257461a1db39dcc142de4d0c382452b55c08519600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610718",
    "kind": "arxiv",
    "version": 1
  }
}