Pith Number

pith:4ZA7SCSA

pith:2019:4ZA7SCSAOPN7QCW6JP7IOOQRDY

not attested not anchored not stored refs pending

Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems

Kohei Kawabata, Masahito Ueda, Norifumi Matsumoto, Shunsuke Furukawa, Yuto Ashida

arxiv:1912.09045 v4 · 2019-12-19 · cond-mat.stat-mech · cond-mat.str-el · 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{4ZA7SCSAOPN7QCW6JP7IOOQRDY}

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	2026-07-05T02:02:01.785348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e641f90a4073dbf80ade4bfe873a111e335160f433f127964a7bef0640ab4657

Aliases

arxiv: 1912.09045 · arxiv_version: 1912.09045v4 · doi: 10.48550/arxiv.1912.09045 · pith_short_12: 4ZA7SCSAOPN7 · pith_short_16: 4ZA7SCSAOPN7QCW6 · pith_short_8: 4ZA7SCSA

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/4ZA7SCSAOPN7QCW6JP7IOOQRDY \
  | 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: e641f90a4073dbf80ade4bfe873a111e335160f433f127964a7bef0640ab4657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "323745d396ac90dac5004c50a31f8994b9bef23d522253452e737129f51784c4",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-12-19T07:41:57Z",
    "title_canon_sha256": "fe00ee531b9b7dee9d6e220e5bba9da61b92c22448f1fce1f9ea62cd64b26328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.09045",
    "kind": "arxiv",
    "version": 4
  }
}