Pith Number

pith:D4YUTDHH

pith:2025:D4YUTDHH4XD4HF7XCIZHWC2YAY

not attested not anchored not stored refs pending

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions

Ikuo Ichinose, Takahiro Orito, Yoshihito Kuno

arxiv:2505.02125 v1 · 2025-05-04 · 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{D4YUTDHH4XD4HF7XCIZHWC2YAY}

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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

Krylov Complexity and Mixed-State Phase Transition

Receipt and verification

First computed	2026-07-05T10:58:32.375025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f31498ce7e5c7c397f712327b0b58060d649d677a498b586878a814205f276d

Aliases

arxiv: 2505.02125 · arxiv_version: 2505.02125v1 · doi: 10.48550/arxiv.2505.02125 · pith_short_12: D4YUTDHH4XD4 · pith_short_16: D4YUTDHH4XD4HF7X · pith_short_8: D4YUTDHH

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/D4YUTDHH4XD4HF7XCIZHWC2YAY \
  | 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: 1f31498ce7e5c7c397f712327b0b58060d649d677a498b586878a814205f276d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac7a32c09ed234c7a9731e17f3da43b64dc8a4862688ba0b1361cc1becc0234",
    "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": "2025-05-04T14:15:03Z",
    "title_canon_sha256": "2e1af200e76c8823b82bfe1ac478fca812b23878f8996150448e45f94ca91bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.02125",
    "kind": "arxiv",
    "version": 1
  }
}