pith. sign in
Pith Number

pith:SAF7T5T3

pith:2013:SAF7T5T327XRTXZ3UHG3E4KXVX
not attested not anchored not stored refs pending

What is the relativistic spin operator?

Christoph H. Keitel, Heiko Bauke, Rainer Grobe, Sven Ahrens

arxiv:1303.3862 v2 · 2013-03-15 · quant-ph · physics.atom-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SAF7T5T327XRTXZ3UHG3E4KXVX}

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 2026-05-18T02:54:22.440750Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

900bf9f67bd7ef19df3ba1cdb27157adf1a157c9f6c76b4654ab8d71b11a5bdf

Aliases

arxiv: 1303.3862 · arxiv_version: 1303.3862v2 · doi: 10.48550/arxiv.1303.3862 · pith_short_12: SAF7T5T327XR · pith_short_16: SAF7T5T327XRTXZ3 · pith_short_8: SAF7T5T3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SAF7T5T327XRTXZ3UHG3E4KXVX \
  | 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: 900bf9f67bd7ef19df3ba1cdb27157adf1a157c9f6c76b4654ab8d71b11a5bdf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f3643dfb822b1e5940a46ada35038a7535a5137c3e1b480b548362c87d6bd8b4",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-03-15T19:02:01Z",
    "title_canon_sha256": "9baf90b67c1774d6d00d4a4c45ce8ad52bbbce1fae7cc7988c04fdc0e744ff64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3862",
    "kind": "arxiv",
    "version": 2
  }
}