Pith. sign in
Pith Number

pith:IXPTW4ZW

pith:2024:IXPTW4ZWNAKUIE4SC5TWBZGFN5
not attested not anchored not stored refs pending

Stochastic Processes: From Classical to Quantum

Soon Hoe Lim

arxiv:2407.04005 v1 · 2024-07-04 · math-ph · math.MP · math.PR · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IXPTW4ZWNAKUIE4SC5TWBZGFN5}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T08:40:27.321379Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

45df3b73366815441392176760e4c56f613ff5291dd29799d152c06baa4e7b8b

Aliases

arxiv: 2407.04005 · arxiv_version: 2407.04005v1 · doi: 10.48550/arxiv.2407.04005 · pith_short_12: IXPTW4ZWNAKU · pith_short_16: IXPTW4ZWNAKUIE4S · pith_short_8: IXPTW4ZW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IXPTW4ZWNAKUIE4SC5TWBZGFN5 \
  | 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: 45df3b73366815441392176760e4c56f613ff5291dd29799d152c06baa4e7b8b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0f08d1231d6515ce95e2da8208f9f23334f387e49dfb83913126f4e2f7e8f691",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-07-04T15:26:35Z",
    "title_canon_sha256": "1ba4705da817b8994a0e80c0592581e9d3c97dc5a9042c23ee525eecb0feef97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.04005",
    "kind": "arxiv",
    "version": 1
  }
}