Pith Number

pith:PBKE265Q

pith:2002:PBKE265QWEQGW47R755SW6LUVT

not attested not anchored not stored refs pending

Covariant phase difference observables

J.-P. Pellonpaa, P. Lahti, T. Heinonen

arxiv:quant-ph/0209101 v1 · 2002-09-17 · 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{PBKE265QWEQGW47R755SW6LUVT}

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	2026-05-18T01:37:59.857198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78544d7bb0b1206b73f1ff7b2b7974acce7f06b5e6dabbaed07e33d6788bc17e

Aliases

arxiv: quant-ph/0209101 · arxiv_version: quant-ph/0209101v1 · doi: 10.48550/arxiv.quant-ph/0209101 · pith_short_12: PBKE265QWEQG · pith_short_16: PBKE265QWEQGW47R · pith_short_8: PBKE265Q

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/PBKE265QWEQGW47R755SW6LUVT \
  | 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: 78544d7bb0b1206b73f1ff7b2b7974acce7f06b5e6dabbaed07e33d6788bc17e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5290190a1570ee3de155d89c877f13fb67b0eb9a6c582ce59eb9c59517417456",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-09-17T10:46:24Z",
    "title_canon_sha256": "187cef80c94b68f20468ddc72b4ecf29b1d717154b5c3bb1b12b43c4df52b92a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0209101",
    "kind": "arxiv",
    "version": 1
  }
}