Pith Number

pith:RA5CHYT4

pith:2016:RA5CHYT4FRCD5VVW5QDM5GV7VV

not attested not anchored not stored refs pending

Uncertainty Relations in the Framework of Equalities

Kazuya Yuasa, Tohru Ozawa

arxiv:1606.02937 v2 · 2016-06-09 · math.FA · math-ph · math.MP · 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{RA5CHYT4FRCD5VVW5QDM5GV7VV}

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	2026-05-18T01:03:32.482998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

883a23e27c2c443ed6b6ec06ce9abfad6d780b0152914429f44052626c422aed

Aliases

arxiv: 1606.02937 · arxiv_version: 1606.02937v2 · doi: 10.48550/arxiv.1606.02937 · pith_short_12: RA5CHYT4FRCD · pith_short_16: RA5CHYT4FRCD5VVW · pith_short_8: RA5CHYT4

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/RA5CHYT4FRCD5VVW5QDM5GV7VV \
  | 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: 883a23e27c2c443ed6b6ec06ce9abfad6d780b0152914429f44052626c422aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c40c8749e29eedaa98665705eeb720683716afd5eb637519697c45d41c1e695",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-09T12:48:06Z",
    "title_canon_sha256": "1ae3e88c3b51ae16a2827bc7070fe92b96372e5eeddd8a3a0fb6cb3a39d908ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02937",
    "kind": "arxiv",
    "version": 2
  }
}