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Pith Number

pith:DSIYIDDX

pith:2016:DSIYIDDXS7PXCPOVV7MJX562LG
not attested not anchored not stored refs pending

Solution of the Master Equation for Quantum Brownian Motion given by the Schr\"{o}dinger Equation

A. Paliathanasis, P.G.L. Leach, R.M. Morris, R. Sinuvasan

arxiv:1612.04070 v1 · 2016-12-13 · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DSIYIDDXS7PXCPOVV7MJX562LG}

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 2026-05-18T00:54:10.321843Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1c91840c7797df713dd5afd89bf7da5988e3453fffc05c7542d3c1fdaace647b

Aliases

arxiv: 1612.04070 · arxiv_version: 1612.04070v1 · doi: 10.48550/arxiv.1612.04070 · pith_short_12: DSIYIDDXS7PX · pith_short_16: DSIYIDDXS7PXCPOV · pith_short_8: DSIYIDDX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DSIYIDDXS7PXCPOVV7MJX562LG \
  | 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: 1c91840c7797df713dd5afd89bf7da5988e3453fffc05c7542d3c1fdaace647b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f3271b401ff72fa97e29e9bbfa1d838c421b991415ac3fc63d04846cd1034d38",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-13T09:19:27Z",
    "title_canon_sha256": "b83cd659e2eaa85833082c6a7aa4756b1825f8e27d72f1ed123ec760c001c399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04070",
    "kind": "arxiv",
    "version": 1
  }
}