Pith Number

pith:I4A5L6RI

pith:2003:I4A5L6RIN4C2EIHDOEVJY2EK7M

not attested not anchored not stored refs pending

An optimal entropic uncertainty relation in a two-dimensional Hilbert space

Giancarlo Ghirardi, Luca Marinatto, Raffaele Romano

arxiv:quant-ph/0310120 v1 · 2003-10-20 · 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{I4A5L6RIN4C2EIHDOEVJY2EK7M}

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	2026-05-18T01:37:59.037309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4701d5fa286f05a220e3712a9c688afb1b313f75d08edcf6dca070579d210204

Aliases

arxiv: quant-ph/0310120 · arxiv_version: quant-ph/0310120v1 · doi: 10.48550/arxiv.quant-ph/0310120 · pith_short_12: I4A5L6RIN4C2 · pith_short_16: I4A5L6RIN4C2EIHD · pith_short_8: I4A5L6RI

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/I4A5L6RIN4C2EIHDOEVJY2EK7M \
  | 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: 4701d5fa286f05a220e3712a9c688afb1b313f75d08edcf6dca070579d210204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d05263431b8bd27539a4dc5a478709402ab75912e2c7ce887113fd5debcd5b1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-10-20T09:36:42Z",
    "title_canon_sha256": "f7c231ff50e7e1a3b839e88a7f3289b8fe731c3701cb6b383c1f3d3a8375acfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0310120",
    "kind": "arxiv",
    "version": 1
  }
}