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Pith Number

pith:GQF5I6HP

pith:2016:GQF5I6HPMIVD4VMMOOIEBFF6XD
not attested not anchored not stored refs pending

Mutually exclusive uncertainty relations

Naihuan Jing, Yunlong Xiao

arxiv:1610.08578 v1 · 2016-10-27 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GQF5I6HPMIVD4VMMOOIEBFF6XD}

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 2026-05-18T00:59:56.903063Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

340bd478ef622a3e558c73904094beb8c624159841b79775442759f5dca78114

Aliases

arxiv: 1610.08578 · arxiv_version: 1610.08578v1 · doi: 10.48550/arxiv.1610.08578 · pith_short_12: GQF5I6HPMIVD · pith_short_16: GQF5I6HPMIVD4VMM · pith_short_8: GQF5I6HP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GQF5I6HPMIVD4VMMOOIEBFF6XD \
  | 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: 340bd478ef622a3e558c73904094beb8c624159841b79775442759f5dca78114
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7855c81b5c5ef687d0aa04fb95a350a5b1a9c8fb3655df952019222797e4966b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-27T00:03:13Z",
    "title_canon_sha256": "f665aeb85e3a91e4f9202deb3dcb11e3e58f03992e4618a87d9518996cc99521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08578",
    "kind": "arxiv",
    "version": 1
  }
}