Pith Number

pith:PJOQRZ2Y

pith:2019:PJOQRZ2YJ6WY6VCSZPVYTXZEK6

not attested not anchored not stored refs pending

Mean-field validity in a dissipative critical system: Liouvillian gap, $\mathbb{PT}$-symmetric antigap, and permutational symmetry in the $XYZ$ model

Dolf Huybrechts, Fabrizio Minganti, Franco Nori, Michiel Wouters, Nathan Shammah

arxiv:1912.07570 v1 · 2019-12-16 · quant-ph · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJOQRZ2YJ6WY6VCSZPVYTXZEK6}

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.

Receipt and verification

First computed	2026-07-05T01:09:40.118230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5d08e7584fad8f5452cbeb89df24579def853dbafe10f396ee9e643484418b

Aliases

arxiv: 1912.07570 · arxiv_version: 1912.07570v1 · doi: 10.48550/arxiv.1912.07570 · pith_short_12: PJOQRZ2YJ6WY · pith_short_16: PJOQRZ2YJ6WY6VCS · pith_short_8: PJOQRZ2Y

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/PJOQRZ2YJ6WY6VCSZPVYTXZEK6 \
  | 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: 7a5d08e7584fad8f5452cbeb89df24579def853dbafe10f396ee9e643484418b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc87c3f9d2459e5060748c4c3a8393f838bcf46fd108ce93261ed88210d8fed6",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-12-16T18:33:28Z",
    "title_canon_sha256": "0707e11d747f686585c6f58d5dba7f6934f97be4c7c81606e0863af2869c641a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07570",
    "kind": "arxiv",
    "version": 1
  }
}