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Pith Number

pith:G57L4UM4

pith:2015:G57L4UM4JKOMRV6T43SJTFP4C7
not attested not anchored not stored refs pending

Energy-time and frequency-time uncertainty relations: exact inequalities

A. V. Dodonov, V. V. Dodonov

arxiv:1504.00862 v1 · 2015-04-03 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{G57L4UM4JKOMRV6T43SJTFP4C7}

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 2026-05-18T02:19:36.863932Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

377ebe519c4a9cc8d7d3e6e49995fc17f8bd3a6074c07bca0705bdec42016dc4

Aliases

arxiv: 1504.00862 · arxiv_version: 1504.00862v1 · doi: 10.48550/arxiv.1504.00862 · pith_short_12: G57L4UM4JKOM · pith_short_16: G57L4UM4JKOMRV6T · pith_short_8: G57L4UM4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/G57L4UM4JKOMRV6T43SJTFP4C7 \
  | 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: 377ebe519c4a9cc8d7d3e6e49995fc17f8bd3a6074c07bca0705bdec42016dc4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "af58a2ec5af8a51ceedcc6ef76a43b76939c931c1a11ce2d6396af628f55fe5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-04-03T15:30:28Z",
    "title_canon_sha256": "9992c6439570c10763484962db8f37b024b3ec84176e863221ba68f939b1b34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00862",
    "kind": "arxiv",
    "version": 1
  }
}