Pith Number

pith:D4RIDR3B

pith:2001:D4RIDR3BD3FV75F7MNJ4QNGYMF

not attested not anchored not stored refs pending

The Pegg-Barnett Formalism and Covariant Phase Observables

Juha-Pekka Pellonpaa, Pekka Lahti

arxiv:quant-ph/0106084 v1 · 2001-06-15 · 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{D4RIDR3BD3FV75F7MNJ4QNGYMF}

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	2026-05-18T04:39:08.632795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2281c7611ecb5ff4bf6353c834d8616f7de7572f24e108628403b1f11a73ab

Aliases

arxiv: quant-ph/0106084 · arxiv_version: quant-ph/0106084v1 · doi: 10.48550/arxiv.quant-ph/0106084 · pith_short_12: D4RIDR3BD3FV · pith_short_16: D4RIDR3BD3FV75F7 · pith_short_8: D4RIDR3B

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/D4RIDR3BD3FV75F7MNJ4QNGYMF \
  | 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: 1f2281c7611ecb5ff4bf6353c834d8616f7de7572f24e108628403b1f11a73ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c519b7fffcddeed6459a1b2621687aa311f1ef9de2df2b520d180b3afab7535",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-06-15T06:59:48Z",
    "title_canon_sha256": "8c64ab7b6cb59247f3a3553f58eb2b85fc37842518be4c8fe914d626a81530c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0106084",
    "kind": "arxiv",
    "version": 1
  }
}