Pith Number

pith:R2NW4WB2

pith:2025:R2NW4WB2OC2UUOBGQGHFTTTHP3

not attested not anchored not stored refs pending

Lindbladian PT phase transitions

Tomohiro Sasamoto, Yuma Nakanishi

arxiv:2512.24981 v2 · 2025-12-31 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2NW4WB2OC2UUOBGQGHFTTTHP3}

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

2 papers in Pith

Quantum Spin Squeezing Enhanced by Critical Exceptional Points

Renormalization of Quantum Operations: Parity-Time Transition and Chaotic Flows

Receipt and verification

First computed	2026-07-31T01:09:14.668383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

8e9b6e583a70b54a3826818e59ce677ed0bfc092223c045adc9462e65644c2b8

Aliases

arxiv: 2512.24981 · arxiv_version: 2512.24981v2 · doi: 10.48550/arxiv.2512.24981 · pith_short_12: R2NW4WB2OC2U · pith_short_16: R2NW4WB2OC2UUOBG · pith_short_8: R2NW4WB2

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/R2NW4WB2OC2UUOBGQGHFTTTHP3 \
  | 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: 8e9b6e583a70b54a3826818e59ce677ed0bfc092223c045adc9462e65644c2b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d503ffb52b73a8bb3a13b3957f0b5f33a4ef696a28af024821c926cebb1cd8d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-12-31T17:27:39Z",
    "title_canon_sha256": "35d46693cf5194253ab206a1a471594dbb3d9f2dbf7686fe17c6ea6221bafb45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.24981",
    "kind": "arxiv",
    "version": 2
  }
}