Pith Number

pith:ZJNN2LGX

pith:2011:ZJNN2LGXN4IKTAWLVJAFC6DLTA

not attested not anchored not stored refs pending

Heisenberg Uncertainty Relation for Coarse-grained Observables

Fabricio Toscano, Lukasz Rudnicki, Stephen P. Walborn

arxiv:1110.1399 v1 · 2011-10-06 · 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{ZJNN2LGXN4IKTAWLVJAFC6DLTA}

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	2026-05-18T02:00:16.768794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca5add2cd76f10a982cbaa4051786b981830b4ee5e9645a0b07f2a524255849e

Aliases

arxiv: 1110.1399 · arxiv_version: 1110.1399v1 · doi: 10.48550/arxiv.1110.1399 · pith_short_12: ZJNN2LGXN4IK · pith_short_16: ZJNN2LGXN4IKTAWL · pith_short_8: ZJNN2LGX

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/ZJNN2LGXN4IKTAWLVJAFC6DLTA \
  | 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: ca5add2cd76f10a982cbaa4051786b981830b4ee5e9645a0b07f2a524255849e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72560664aa7fce220117e51b279c591d33d0f4d1593d8a59f2baecf47d9f800c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-06T21:26:55Z",
    "title_canon_sha256": "2d388a9fc6828930f1c44c9507be53d8139dc7e247eff1c51602f87e73fb4865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1399",
    "kind": "arxiv",
    "version": 1
  }
}