Pith Number

pith:4ZZ2RUKO

pith:2012:4ZZ2RUKOBHTR7Z2WRCOC4HCUNW

not attested not anchored not stored refs pending

Spin 1 particle on 4-dimensional sphere: extended helicity operator, separation of the variables, and exact solutions

E. M. Ovsiyuk, V. M. Red'kov, V. V. Kisel

arxiv:1203.5003 v1 · 2012-03-22 · 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{4ZZ2RUKOBHTR7Z2WRCOC4HCUNW}

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	2026-05-18T03:59:28.158756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e673a8d14e09e71fe756889c2e1c546dba1dfc73e013658705707c3bea1f0c85

Aliases

arxiv: 1203.5003 · arxiv_version: 1203.5003v1 · doi: 10.48550/arxiv.1203.5003 · pith_short_12: 4ZZ2RUKOBHTR · pith_short_16: 4ZZ2RUKOBHTR7Z2W · pith_short_8: 4ZZ2RUKO

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/4ZZ2RUKOBHTR7Z2WRCOC4HCUNW \
  | 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: e673a8d14e09e71fe756889c2e1c546dba1dfc73e013658705707c3bea1f0c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0b0bccc6a8dedc1beb30faeb77c7e85bf2ab6fe37bb7b62f593ca49270b174",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-22T14:27:59Z",
    "title_canon_sha256": "8efae7d017fbf4d474baa9778d74db3e59fa27914fdb7e45a228943d5264eb16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5003",
    "kind": "arxiv",
    "version": 1
  }
}