Pith Number

pith:3WKW4Q4Q

pith:2009:3WKW4Q4QIEXGMO63VUFAVRYTKI

not attested not anchored not stored refs pending

Some alternatives for calculating multipole expansions of the electromagnetic radiation field

C. Vrejoiu, R. Zus

arxiv:0906.0503 v1 · 2009-06-02 · 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{3WKW4Q4QIEXGMO63VUFAVRYTKI}

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	2026-05-18T03:23:59.711962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd956e4390412e663bdbad0a0ac713521a569bac38c74d6262fef7d60fcdc43c

Aliases

arxiv: 0906.0503 · arxiv_version: 0906.0503v1 · doi: 10.48550/arxiv.0906.0503 · pith_short_12: 3WKW4Q4QIEXG · pith_short_16: 3WKW4Q4QIEXGMO63 · pith_short_8: 3WKW4Q4Q

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/3WKW4Q4QIEXGMO63VUFAVRYTKI \
  | 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: dd956e4390412e663bdbad0a0ac713521a569bac38c74d6262fef7d60fcdc43c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e244a7fc5d843c9947bcb4e0202b72d7309fa58cf26e4ef3eeda025e9fb4935b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2009-06-02T14:56:31Z",
    "title_canon_sha256": "a25330402798a7ea929dfb231e31903983d4346fa05b3a0e4bf6acaf9f35b229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0503",
    "kind": "arxiv",
    "version": 1
  }
}