Pith Number

pith:4WN6ZWMN

pith:2012:4WN6ZWMNIQQOWZS2ZVEVSKMYTF

not attested not anchored not stored refs pending

Mutually unbiased bases for the rotor degree of freedom

Berthold-Georg Englert, Philippe Raynal, Xin L\"u

arxiv:1203.5201 v2 · 2012-03-23 · quant-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{4WN6ZWMNIQQOWZS2ZVEVSKMYTF}

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	2026-05-18T03:55:02.530263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59becd98d4420eb665acd49592998996a5cababcf9bf9a89359564e812ad332

Aliases

arxiv: 1203.5201 · arxiv_version: 1203.5201v2 · doi: 10.48550/arxiv.1203.5201 · pith_short_12: 4WN6ZWMNIQQO · pith_short_16: 4WN6ZWMNIQQOWZS2 · pith_short_8: 4WN6ZWMN

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/4WN6ZWMNIQQOWZS2ZVEVSKMYTF \
  | 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: e59becd98d4420eb665acd49592998996a5cababcf9bf9a89359564e812ad332

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f97a93a9802389cffe5617d72e47d9231d14b318554541b19865eeb457386e44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-03-23T09:36:52Z",
    "title_canon_sha256": "9cd49f4cb95a0e7630001ea933e98aac82e56425cc888900fad6ba609c283931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5201",
    "kind": "arxiv",
    "version": 2
  }
}