Pith Number

pith:7ZVRTECB

pith:2026:7ZVRTECB4DZAXF7TKFAPSFKZQV

not attested not anchored not stored refs pending

Non-Hermitian Delocalization Realizes Random Dirac Criticality in One Dimension

Bo Li, Ren Zhang, Shen Zhang

arxiv:2606.12089 v1 · 2026-06-10 · cond-mat.dis-nn · physics.optics · 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{7ZVRTECB4DZAXF7TKFAPSFKZQV}

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	2026-06-11T01:10:47.663976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe6b199041e0f20b97f35140f91559854786519870eb1cc77bcb2aed6ec96644

Aliases

arxiv: 2606.12089 · arxiv_version: 2606.12089v1 · doi: 10.48550/arxiv.2606.12089 · pith_short_12: 7ZVRTECB4DZA · pith_short_16: 7ZVRTECB4DZAXF7T · pith_short_8: 7ZVRTECB

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/7ZVRTECB4DZAXF7TKFAPSFKZQV \
  | 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: fe6b199041e0f20b97f35140f91559854786519870eb1cc77bcb2aed6ec96644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd0de9beabf547ccfb33b709befd22c1b89370a6f2be927cf84ac204c7ac54a7",
    "cross_cats_sorted": [
      "physics.optics",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-06-10T13:49:36Z",
    "title_canon_sha256": "a6b346eb47acafc39fa19baa3d0704c3ca5d4274fd015b90ea4a3bd53c991ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12089",
    "kind": "arxiv",
    "version": 1
  }
}