Pith Number

pith:Y7I5PFHO

pith:2011:Y7I5PFHORIFW5J5LLNNPSRRWR5

not attested not anchored not stored refs pending

Extreme Covariant Quantum Observables in the Case of an Abelian Symmetry Group and a Transitive Value Space

Erkka Haapasalo, Juha-Pekka Pellonp\"a\"a

arxiv:1105.1084 v1 · 2011-05-05 · 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{Y7I5PFHORIFW5J5LLNNPSRRWR5}

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	2026-05-18T02:02:03.783807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7d1d794ee8a0b6ea7ab5b5af946368f6b2eb8893b78caead0cac127692cd819

Aliases

arxiv: 1105.1084 · arxiv_version: 1105.1084v1 · doi: 10.48550/arxiv.1105.1084 · pith_short_12: Y7I5PFHORIFW · pith_short_16: Y7I5PFHORIFW5J5L · pith_short_8: Y7I5PFHO

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/Y7I5PFHORIFW5J5LLNNPSRRWR5 \
  | 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: c7d1d794ee8a0b6ea7ab5b5af946368f6b2eb8893b78caead0cac127692cd819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b115dc7e934a46567f5208d69a2c67f303ccbc411bf97bdc4cf5120a371b924b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-05-05T14:26:52Z",
    "title_canon_sha256": "000bb1eacb4f88be596222c8fe748e28bc5c7bbaa47df93a351bfd9f8baa5fd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1084",
    "kind": "arxiv",
    "version": 1
  }
}