Pith Number

pith:J5EGNIO4

pith:2025:J5EGNIO4CHM2SNFO3ETIBKP7QH

not attested not anchored not stored refs pending

R\'{e}nyi and Shannon mutual information in critical and decohered critical system

Ikuo Ichinose, Takahiro Orito, Yoshihito Kuno

arxiv:2506.18475 v1 · 2025-06-23 · quant-ph · cond-mat.stat-mech · cond-mat.str-el

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5EGNIO4CHM2SNFO3ETIBKP7QH}

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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.

Cited by

1 paper in Pith

Succession of Ising criticality and its threshold in critical quantum Ising model subject to symmetric decoherence

Receipt and verification

First computed	2026-07-05T11:25:50.785197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4866a1dc11d9a934aed92680a9ff81c65c0a080d3385ef17e0129e4b370990

Aliases

arxiv: 2506.18475 · arxiv_version: 2506.18475v1 · doi: 10.48550/arxiv.2506.18475 · pith_short_12: J5EGNIO4CHM2 · pith_short_16: J5EGNIO4CHM2SNFO · pith_short_8: J5EGNIO4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/J5EGNIO4CHM2SNFO3ETIBKP7QH \
  | 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: 4f4866a1dc11d9a934aed92680a9ff81c65c0a080d3385ef17e0129e4b370990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02659ea34e28ca6900798b2cd24403f5a0ba659a71d66c6b1a647fc3219d9920",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-23T10:18:53Z",
    "title_canon_sha256": "47d313f6a63fb996a0de2b09e0066a1d5496aa82c8ec6e7759515aefdf260617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18475",
    "kind": "arxiv",
    "version": 1
  }
}