Pith Number

pith:NRU75IJC

pith:2011:NRU75IJCYGUBR6EPLSGTD3BARL

not attested not anchored not stored refs pending

Universality of the Heisenberg limit for estimates of random phase shifts

Dominic W. Berry, Howard M. Wiseman, Marcin Zwierz, Michael J. W. Hall

arxiv:1111.0788 v3 · 2011-11-03 · 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{NRU75IJCYGUBR6EPLSGTD3BARL}

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	2026-05-18T01:59:47.904168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c69fea122c1a818f88f5c8d31ec208af43794312b6e533eb17157187a11d598

Aliases

arxiv: 1111.0788 · arxiv_version: 1111.0788v3 · doi: 10.48550/arxiv.1111.0788 · pith_short_12: NRU75IJCYGUB · pith_short_16: NRU75IJCYGUBR6EP · pith_short_8: NRU75IJC

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/NRU75IJCYGUBR6EPLSGTD3BARL \
  | 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: 6c69fea122c1a818f88f5c8d31ec208af43794312b6e533eb17157187a11d598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9496762e65f1acf5894767a82d05b721a21e01efbaeec8e518e03cbc77a00ece",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-03T10:55:50Z",
    "title_canon_sha256": "722122a58f652a53e788b843a871c8cd3c81306f425e4cd29e91c93f110041b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0788",
    "kind": "arxiv",
    "version": 3
  }
}