Pith Number

pith:UWQN52I5

pith:2018:UWQN52I54QG3L6BLPX72TOHATO

not attested not anchored not stored refs pending

Origin of the anapole condition as revealed by a simple expansion beyond the toroidal multipole

Kenneth B. Crozier, Shi-Qiang Li

arxiv:1803.01824 v3 · 2018-03-05 · physics.app-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{UWQN52I54QG3L6BLPX72TOHATO}

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	2026-05-18T00:11:28.038731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5a0dee91de40db5f82b7dffa9b8e09b9e36b7ad6e38b5cff07f21261a8655f3

Aliases

arxiv: 1803.01824 · arxiv_version: 1803.01824v3 · doi: 10.48550/arxiv.1803.01824 · pith_short_12: UWQN52I54QG3 · pith_short_16: UWQN52I54QG3L6BL · pith_short_8: UWQN52I5

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/UWQN52I54QG3L6BLPX72TOHATO \
  | 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: a5a0dee91de40db5f82b7dffa9b8e09b9e36b7ad6e38b5cff07f21261a8655f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0eda6c83c71e08f0babde6f8074682628f951f59d4ec6ff9fa44ffe0b0a89c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2018-03-05T18:37:21Z",
    "title_canon_sha256": "012521a019feb021af50654ad7372a9a9b3cfec3f7f4a859a5eb45042203de34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01824",
    "kind": "arxiv",
    "version": 3
  }
}