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Pith Number

pith:R4FGYRSN

pith:2016:R4FGYRSN5VFJ2DZGZPT5O3SCPK
not attested not anchored not stored refs pending

Backward transfer entropy: Informational measure for detecting hidden Markov models and its interpretations in thermodynamics, gambling and causality

Sosuke Ito

arxiv:1605.00301 v4 · 2016-05-01 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{R4FGYRSN5VFJ2DZGZPT5O3SCPK}

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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 2026-05-18T00:10:19.670186Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8f0a6c464ded4a9d0f26cbe7d76e427a90c8e04487ac87d07fdd8b166fd1438b

Aliases

arxiv: 1605.00301 · arxiv_version: 1605.00301v4 · doi: 10.48550/arxiv.1605.00301 · pith_short_12: R4FGYRSN5VFJ · pith_short_16: R4FGYRSN5VFJ2DZG · pith_short_8: R4FGYRSN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/R4FGYRSN5VFJ2DZGZPT5O3SCPK \
  | 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: 8f0a6c464ded4a9d0f26cbe7d76e427a90c8e04487ac87d07fdd8b166fd1438b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "da9ffecb6c31a7584a3c8b73a45d59e52a064b9ba530eee96ab437e778edecb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-05-01T20:12:34Z",
    "title_canon_sha256": "4fc3355ca35cc6d277048ea985a32caf8b84e2a0937d1411bda75d2632b8caa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00301",
    "kind": "arxiv",
    "version": 4
  }
}