Pith Number

pith:CQKGDGRA

pith:2026:CQKGDGRAAU7CCHV67DC4IPWKEM

not attested not anchored not stored refs pending

Arbitrary-Order Scattering Exceptional Points in Configurable Non-Hermitian Zero-Index Materials

Jie Luo, Ling Yin, Yongxing Wang, Yucheng Xu

arxiv:2606.06998 v1 · 2026-06-05 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQKGDGRAAU7CCHV67DC4IPWKEM}

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	2026-06-08T01:04:40.428588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1414619a20053e211ebef8c5c43eca23075ce9f732f3b14afae3efc9c59f2b14

Aliases

arxiv: 2606.06998 · arxiv_version: 2606.06998v1 · doi: 10.48550/arxiv.2606.06998 · pith_short_12: CQKGDGRAAU7C · pith_short_16: CQKGDGRAAU7CCHV6 · pith_short_8: CQKGDGRA

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/CQKGDGRAAU7CCHV67DC4IPWKEM \
  | 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: 1414619a20053e211ebef8c5c43eca23075ce9f732f3b14afae3efc9c59f2b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d89c013772ab24b917f401ee0fadbc322415ea52ca08d61326080ee15e6fb29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-05T07:41:38Z",
    "title_canon_sha256": "95f6867d7cb0dec1a8c50e7de8fca81af819c9137a2dc70670367f856993859a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06998",
    "kind": "arxiv",
    "version": 1
  }
}