Pith Number

pith:EFZ7ZTYO

pith:2015:EFZ7ZTYOLX7DXVC3IRH6VSCEEO

not attested not anchored not stored refs pending

Uncertainty relations for general unitary operators

Arun Kumar Pati, Shrobona Bagchi

arxiv:1511.04730 v2 · 2015-11-15 · 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{EFZ7ZTYOLX7DXVC3IRH6VSCEEO}

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	2026-05-18T01:02:45.482085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2173fccf0e5dfe3bd45b444feac8442398f5eb77456693dddbd5275067af016c

Aliases

arxiv: 1511.04730 · arxiv_version: 1511.04730v2 · doi: 10.48550/arxiv.1511.04730 · pith_short_12: EFZ7ZTYOLX7D · pith_short_16: EFZ7ZTYOLX7DXVC3 · pith_short_8: EFZ7ZTYO

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/EFZ7ZTYOLX7DXVC3IRH6VSCEEO \
  | 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: 2173fccf0e5dfe3bd45b444feac8442398f5eb77456693dddbd5275067af016c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b61feb78f7b78f8300519d3cb9c976ae21ddb567888406b6a69c1e4447ce0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-15T17:03:40Z",
    "title_canon_sha256": "30caa4763988012430dcac2ca5ad33d334648e085ebfa53f5fb1bdb9d9d2b6df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04730",
    "kind": "arxiv",
    "version": 2
  }
}