Pith Number

pith:4DFWRGJC

pith:2016:4DFWRGJCLAHS4JIQI7OQJ4XB4W

not attested not anchored not stored refs pending

Universal Critical Behaviors in Non-Hermitian Phase Transitions

Bo-Bo Wei, Liang Jin

arxiv:1610.09752 v1 · 2016-10-31 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DFWRGJCLAHS4JIQI7OQJ4XB4W}

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	2026-05-18T00:38:21.151687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0cb689922580f2e251047dd04f2e1e588a2de96faafc9f4f3fbd02fae1afcb9

Aliases

arxiv: 1610.09752 · arxiv_version: 1610.09752v1 · doi: 10.48550/arxiv.1610.09752 · pith_short_12: 4DFWRGJCLAHS · pith_short_16: 4DFWRGJCLAHS4JIQ · pith_short_8: 4DFWRGJC

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/4DFWRGJCLAHS4JIQI7OQJ4XB4W \
  | 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: e0cb689922580f2e251047dd04f2e1e588a2de96faafc9f4f3fbd02fae1afcb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2fb9186916b57d86503a466cc0efaf3e85e357bfedea2e0cc4345c626704cd2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-31T01:02:03Z",
    "title_canon_sha256": "8e5a52d00d57cf1cb87a6563bc2900621725f155082bc6c6daad6b2c79367bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09752",
    "kind": "arxiv",
    "version": 1
  }
}