Pith Number

pith:OPRWEU2C

pith:2026:OPRWEU2CUQLVZ2KIWVRMLPZGRG

not attested not anchored not stored refs pending

Topological spectral form factor reveals emergent non-Hermitian single-particle $\mathcal{PT}$ transitions from many-body quantum chaos

Amos Chan, Chun Y. Leung, Daniel Harkin

arxiv:2606.19331 v1 · 2026-06-17 · cond-mat.stat-mech · hep-th · nlin.CD · 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{OPRWEU2CUQLVZ2KIWVRMLPZGRG}

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	2026-06-19T16:12:11.342829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e3625342a4175ce948b562c5bf26898cb097d6a64208d76b8ae3ee151218e0

Aliases

arxiv: 2606.19331 · arxiv_version: 2606.19331v1 · doi: 10.48550/arxiv.2606.19331 · pith_short_12: OPRWEU2CUQLV · pith_short_16: OPRWEU2CUQLVZ2KI · pith_short_8: OPRWEU2C

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/OPRWEU2CUQLVZ2KIWVRMLPZGRG \
  | 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: 73e3625342a4175ce948b562c5bf26898cb097d6a64208d76b8ae3ee151218e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa8618c685dbfd5232842930cd0b82f96b4d48797377eb0705a35f8d69bdb6f",
    "cross_cats_sorted": [
      "hep-th",
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-17T17:57:26Z",
    "title_canon_sha256": "4e10f73c57c39414934808fd89e2aff717256a3b160f056ad33457c9841b0d8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19331",
    "kind": "arxiv",
    "version": 1
  }
}