Pith Number

pith:Z5ZUCSRT

pith:2014:Z5ZUCSRT7XRZMXPHVSP54DD3CB

not attested not anchored not stored refs pending

Entropic uncertainty relations for multiple measurements

Heng Fan, Liang-zhu Mu, Shang Liu

arxiv:1410.5177 v3 · 2014-10-20 · 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{Z5ZUCSRT7XRZMXPHVSP54DD3CB}

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	2026-05-18T02:17:01.068187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf73414a33fde3965de7ac9fde0c7b107fa0b4e4a71c0e4d2cfa9e49d6d22ec0

Aliases

arxiv: 1410.5177 · arxiv_version: 1410.5177v3 · doi: 10.48550/arxiv.1410.5177 · pith_short_12: Z5ZUCSRT7XRZ · pith_short_16: Z5ZUCSRT7XRZMXPH · pith_short_8: Z5ZUCSRT

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/Z5ZUCSRT7XRZMXPHVSP54DD3CB \
  | 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: cf73414a33fde3965de7ac9fde0c7b107fa0b4e4a71c0e4d2cfa9e49d6d22ec0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3321fe78d3b2173e4b518e05fef919698a966c43725d78a71bf84ddc896cb32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-10-20T07:59:59Z",
    "title_canon_sha256": "23e1c2373eb46dce65cf6859214ac4a88d29e15dc519149e56d8ed67de107bae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5177",
    "kind": "arxiv",
    "version": 3
  }
}