Pith Number

pith:KUQJ3CCK

pith:2019:KUQJ3CCKL7N26HJXHMKA3MKSLZ

not attested not anchored not stored refs pending

Singularities and Poincar\'{e} Indexes of Electromagnetic Multipoles

Weijin Chen, Wei Liu, Yuntian Chen

arxiv:1901.04159 v2 · 2019-01-14 · physics.optics · 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{KUQJ3CCKL7N26HJXHMKA3MKSLZ}

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	2026-05-17T23:48:11.179002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55209d884a5fdbaf1d373b140db1525e59fad0f65d2dc0b9885cfaf94c48cfbc

Aliases

arxiv: 1901.04159 · arxiv_version: 1901.04159v2 · doi: 10.48550/arxiv.1901.04159 · pith_short_12: KUQJ3CCKL7N2 · pith_short_16: KUQJ3CCKL7N26HJX · pith_short_8: KUQJ3CCK

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/KUQJ3CCKL7N26HJXHMKA3MKSLZ \
  | 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: 55209d884a5fdbaf1d373b140db1525e59fad0f65d2dc0b9885cfaf94c48cfbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6557f04db61947c035ce83e6bf00d05ebd0457b27be62b6eff2e1428bb86ae15",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-01-14T07:06:26Z",
    "title_canon_sha256": "8a9c58d0544de2f42e18041428df516b9611525c9329ff2a7b84c67f7cefa2f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04159",
    "kind": "arxiv",
    "version": 2
  }
}