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Pith Number

pith:VTV7F6AJ

pith:2011:VTV7F6AJWGDX5NNZKX43CWHDHR
not attested not anchored not stored refs pending

Uncertainty relations from simple entropic properties

Li Yu, Michael Zwolak, Patrick J. Coles, Roger Colbeck

arxiv:1112.0543 v2 · 2011-12-02 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VTV7F6AJWGDX5NNZKX43CWHDHR}

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 2026-05-18T03:22:54.413408Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

acebf2f809b1877eb5b955f9b158e33c75e61a21fe2866e411c3a5aeba947855

Aliases

arxiv: 1112.0543 · arxiv_version: 1112.0543v2 · doi: 10.48550/arxiv.1112.0543 · pith_short_12: VTV7F6AJWGDX · pith_short_16: VTV7F6AJWGDX5NNZ · pith_short_8: VTV7F6AJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VTV7F6AJWGDX5NNZKX43CWHDHR \
  | 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: acebf2f809b1877eb5b955f9b158e33c75e61a21fe2866e411c3a5aeba947855
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "da9f1a70238dab84ac539a3021c4e2e4292db0ac227372085f5d166e7cee3b46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-02T19:08:32Z",
    "title_canon_sha256": "6f1cea82f989ce6d23741297212834fe255de0682eb71ed377ff87ff180b0c93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0543",
    "kind": "arxiv",
    "version": 2
  }
}