Pith Number

pith:ZRBCR4CD

pith:2026:ZRBCR4CD5RLJOV4VDDFTSKIWQW

not attested not anchored not stored refs pending

Point-gap topology in amorphous non-Hermitian quantum systems

Deng-Feng Li, Hao-Peng Zhang, Hong Wu, Jia-Ji Zhu, Jian Li, Li Li, Qiu-Chi Chen, Xin-Qi Xu, Xue-Min Yang

arxiv:2608.08687 v1 · 2026-08-09 · 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{ZRBCR4CD5RLJOV4VDDFTSKIWQW}

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	2026-08-11T01:25:00.674777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc4228f043ec5697579518cb3929168594f7358f40387c6b613286f1c5e4a067

Aliases

arxiv: 2608.08687 · arxiv_version: 2608.08687v1 · doi: 10.48550/arxiv.2608.08687 · pith_short_12: ZRBCR4CD5RLJ · pith_short_16: ZRBCR4CD5RLJOV4V · pith_short_8: ZRBCR4CD

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/ZRBCR4CD5RLJOV4VDDFTSKIWQW \
  | 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: cc4228f043ec5697579518cb3929168594f7358f40387c6b613286f1c5e4a067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31337b45ba10243158316d36c820ba534fc8916e5f055415fa78bb10220b6875",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-09T13:09:36Z",
    "title_canon_sha256": "fc11143c4d3e122cc68d952b72d13fe482c249390dd34ca88de0ccb68fa71821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08687",
    "kind": "arxiv",
    "version": 1
  }
}