Pith Number

pith:42KRRA52

pith:2010:42KRRA52WQI42B7LIFNW7QAT5R

not attested not anchored not stored refs pending

Uncertainty Relation Revisited from Quantum Estimation Theory

Masahito Ueda, Takahiro Sagawa, Yu Watanabe

arxiv:1010.3571 v4 · 2010-10-18 · 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{42KRRA52WQI42B7LIFNW7QAT5R}

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	2026-05-18T03:23:47.591503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6951883bab411cd07eb415b6fc013ec53a5bbb53693dd8714c72050d004c38e

Aliases

arxiv: 1010.3571 · arxiv_version: 1010.3571v4 · doi: 10.48550/arxiv.1010.3571 · pith_short_12: 42KRRA52WQI4 · pith_short_16: 42KRRA52WQI42B7L · pith_short_8: 42KRRA52

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/42KRRA52WQI42B7LIFNW7QAT5R \
  | 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: e6951883bab411cd07eb415b6fc013ec53a5bbb53693dd8714c72050d004c38e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1253838472149a6b6ff20637c8d129e8fbd210e5c2f55ce439d613864530aff7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-18T12:08:26Z",
    "title_canon_sha256": "6bbcb350ebc8568ab017c7568717675fbd814755fcece8cb68baf191ddc719e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3571",
    "kind": "arxiv",
    "version": 4
  }
}