Pith Number

pith:PUOGCQZR

pith:2011:PUOGCQZRMXS4EKWXEMB4J6PNBH

not attested not anchored not stored refs pending

Analytical Study of the Spin Projection Operator

Zhi-qiang Shi

arxiv:1101.0481 v2 · 2011-01-03 · hep-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{PUOGCQZRMXS4EKWXEMB4J6PNBH}

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.

Cited by

1 paper in Pith

Time Optimal Quantum Control of Spinor States

Receipt and verification

First computed	2026-05-18T03:15:06.922360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d1c61433165e5c22ad72303c4f9ed09c97f150710e3fac7a3ab78136acf1bfd

Aliases

arxiv: 1101.0481 · arxiv_version: 1101.0481v2 · doi: 10.48550/arxiv.1101.0481 · pith_short_12: PUOGCQZRMXS4 · pith_short_16: PUOGCQZRMXS4EKWX · pith_short_8: PUOGCQZR

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/PUOGCQZRMXS4EKWXEMB4J6PNBH \
  | 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: 7d1c61433165e5c22ad72303c4f9ed09c97f150710e3fac7a3ab78136acf1bfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ccc95257ff880c343590bc726e0db4a7f39d884c8d28022afa885a3b7f03f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-01-03T10:23:36Z",
    "title_canon_sha256": "d89dd383e3ee1d611066fbd9436aecf09e7499ba33361c74339aa7587e995f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0481",
    "kind": "arxiv",
    "version": 2
  }
}