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Pith Number

pith:LNLR6XC4

pith:2016:LNLR6XC4GHPXLNQEPOMYZPPTZP
not attested not anchored not stored refs pending

Causal evolution of wave packets

Micha{\l} Eckstein, Tomasz Miller

arxiv:1610.00764 v1 · 2016-10-03 · quant-ph · gr-qc · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LNLR6XC4GHPXLNQEPOMYZPPTZP}

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 2026-05-18T00:48:47.064228Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5b571f5c5c31df75b6047b998cbdf3cbee2d87472c4ae69909933af577b8444f

Aliases

arxiv: 1610.00764 · arxiv_version: 1610.00764v1 · doi: 10.48550/arxiv.1610.00764 · pith_short_12: LNLR6XC4GHPX · pith_short_16: LNLR6XC4GHPXLNQE · pith_short_8: LNLR6XC4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LNLR6XC4GHPXLNQEPOMYZPPTZP \
  | 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: 5b571f5c5c31df75b6047b998cbdf3cbee2d87472c4ae69909933af577b8444f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f00deb38287fdf52aebb26ad62811e2bef9c76cf6904b50f1d0270721bcf2c15",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-03T21:45:48Z",
    "title_canon_sha256": "df9af5835d42370cc2516878e531489306f4283b4134f46de62adf5654abde2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00764",
    "kind": "arxiv",
    "version": 1
  }
}