Pith Number

pith:ZLJYR537

pith:2016:ZLJYR5374FNIWOYYIRQFQVVW4A

not attested not anchored not stored refs pending

Optimal uncertainty relations in a modified Heisenberg algebra

Gianpiero Mangano, Kais Abdelkhalek, Leander Fiedler, Ren\'e Schwonnek, Wissam Chemissany

arxiv:1607.00081 v2 · 2016-06-30 · quant-ph · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLJYR5374FNIWOYYIRQFQVVW4A}

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	2026-05-18T00:55:13.417698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad388f77fe15a8b3b1844605856b6e02318dfb5ac87583824faf1e2c92a5d04

Aliases

arxiv: 1607.00081 · arxiv_version: 1607.00081v2 · doi: 10.48550/arxiv.1607.00081 · pith_short_12: ZLJYR5374FNI · pith_short_16: ZLJYR5374FNIWOYY · pith_short_8: ZLJYR537

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/ZLJYR5374FNIWOYYIRQFQVVW4A \
  | 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: cad388f77fe15a8b3b1844605856b6e02318dfb5ac87583824faf1e2c92a5d04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49bb93f978d0783fb3fe0fbcb85bab70e7ea5e6febed60bdd36ae2a9ebcc6461",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-06-30T23:45:04Z",
    "title_canon_sha256": "b3c522c32a67c96eaeb6c52e01fa87188a627a1d7914618340f378cd98d65a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00081",
    "kind": "arxiv",
    "version": 2
  }
}