Pith Number

pith:CNY7YQ6N

pith:2001:CNY7YQ6NGLVQFUZ6MS5J6CEBAU

not attested not anchored not stored refs pending

On the structure of covariant phase observables

Juha-Pekka Pellonpaa

arxiv:quant-ph/0108105 v2 · 2001-08-23 · 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{CNY7YQ6NGLVQFUZ6MS5J6CEBAU}

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	2026-05-18T01:38:02.518979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1371fc43cd32eb02d33e64ba9f08810516eaba814202cce4f93768725e1bbb6d

Aliases

arxiv: quant-ph/0108105 · arxiv_version: quant-ph/0108105v2 · doi: 10.48550/arxiv.quant-ph/0108105 · pith_short_12: CNY7YQ6NGLVQ · pith_short_16: CNY7YQ6NGLVQFUZ6 · pith_short_8: CNY7YQ6N

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/CNY7YQ6NGLVQFUZ6MS5J6CEBAU \
  | 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: 1371fc43cd32eb02d33e64ba9f08810516eaba814202cce4f93768725e1bbb6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf1542880826209e38a704721c9f5b42d5f901fdc1956bb45b10fe427da5f2af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-08-23T11:47:33Z",
    "title_canon_sha256": "049f1a81d2e303a59ebb37c17b27a2432416d2efb7b2b9549d2129fd337c88f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0108105",
    "kind": "arxiv",
    "version": 2
  }
}