Pith Number

pith:JKNNW2A6

pith:2003:JKNNW2A62AOO762NSD3DAIQDRT

not attested not anchored not stored refs pending

Gaussian Laser Beams via Oblate Spheroidal Waves

Kirk T. McDonald

arxiv:physics/0312024 v1 · 2003-12-03 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKNNW2A62AOO762NSD3DAIQDRT}

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	2026-07-04T14:44:05.950004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a9adb681ed01ceffb4d90f63022038cf1556806afb7a20dc8672f53494dd019

Aliases

arxiv: physics/0312024 · arxiv_version: physics/0312024v1 · doi: 10.48550/arxiv.physics/0312024 · pith_short_12: JKNNW2A62AOO · pith_short_16: JKNNW2A62AOO762N · pith_short_8: JKNNW2A6

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/JKNNW2A62AOO762NSD3DAIQDRT \
  | 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: 4a9adb681ed01ceffb4d90f63022038cf1556806afb7a20dc8672f53494dd019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f71265d105f08f72a26edfee734fbe905d4c0ffe9beaf631c03efede1297111",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2003-12-03T16:12:26Z",
    "title_canon_sha256": "fe14e4b9358cbed64784ce50e7cffd958a55093a28dc514be9f600e85d158d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0312024",
    "kind": "arxiv",
    "version": 1
  }
}