Pith Number

pith:U32546ME

pith:2001:U32546MEPHIMYDJPMOA2ZSSDPE

not attested not anchored not stored refs pending

Revisiting Hardy's Paradox: Counterfactual Statements, Real Measurements, Entanglement and Weak Values

Alonso Botero, Benni Reznik, Jeff Tollaksen, Sandu Popescu, Yakir Aharonov

arxiv:quant-ph/0104062 v1 · 2001-04-11 · 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{U32546MEPHIMYDJPMOA2ZSSDPE}

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	2026-05-18T01:38:02.751489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6f5de798479d0cc0d2f6381acca43791efe4341c636dbbcc2494f9b03b919ff

Aliases

arxiv: quant-ph/0104062 · arxiv_version: quant-ph/0104062v1 · doi: 10.48550/arxiv.quant-ph/0104062 · pith_short_12: U32546MEPHIM · pith_short_16: U32546MEPHIMYDJP · pith_short_8: U32546ME

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/U32546MEPHIMYDJPMOA2ZSSDPE \
  | 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: a6f5de798479d0cc0d2f6381acca43791efe4341c636dbbcc2494f9b03b919ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d514f621148ca2cd6ebb100eac348506986a3ecb83f05436542af22069b5688b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-04-11T16:59:16Z",
    "title_canon_sha256": "b4c2375b992c30179ee6d011a5bda3a3bc30b7fcc431596f89880c97c424d953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0104062",
    "kind": "arxiv",
    "version": 1
  }
}