Pith Number

pith:S77RBBQG

pith:2016:S77RBBQGFIMS6LHVT5EAPGMVN4

not attested not anchored not stored refs pending

Average of uncertainty-product for bounded observables

Jiamei Wang, Lin Zhang

arxiv:1608.07370 v4 · 2016-08-26 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S77RBBQGFIMS6LHVT5EAPGMVN4}

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	2026-05-18T00:10:13.973192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ff1086062a192f2cf59f480799956f20c90500bbb5cb2d02e47400fa226934

Aliases

arxiv: 1608.07370 · arxiv_version: 1608.07370v4 · doi: 10.48550/arxiv.1608.07370 · pith_short_12: S77RBBQGFIMS · pith_short_16: S77RBBQGFIMS6LHV · pith_short_8: S77RBBQG

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/S77RBBQGFIMS6LHVT5EAPGMVN4 \
  | 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: 97ff1086062a192f2cf59f480799956f20c90500bbb5cb2d02e47400fa226934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd035e936e64b2f4402ea1b89a77671919de329632e720cc981fee9f22143728",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-08-26T06:56:43Z",
    "title_canon_sha256": "4b12d730442203f22b040f7799dc4c2bc7ec0aa18a4ed0d62ab4f4cf2f9b40be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07370",
    "kind": "arxiv",
    "version": 4
  }
}