Pith Number

pith:VNRVRX3X

pith:2026:VNRVRX3XJ4O726ARHY4WGAKJD6

not attested not anchored not stored refs pending

Non-Hermitian Dirac Vortex: Minimal Theory for Topological-Cavity Surface-Emitting Laser

Guang-Rui Li, Le-Chen Yang, Ling Lu, Zhong Wang, Zong-Liang Li

arxiv:2607.04646 v1 · 2026-07-06 · 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{VNRVRX3XJ4O726ARHY4WGAKJD6}

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	2026-07-07T02:19:29.315521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab6358df774f1dfd78113e396301491f9f720a2c5d316ff70ca660352b7a229a

Aliases

arxiv: 2607.04646 · arxiv_version: 2607.04646v1 · doi: 10.48550/arxiv.2607.04646 · pith_short_12: VNRVRX3XJ4O7 · pith_short_16: VNRVRX3XJ4O726AR · pith_short_8: VNRVRX3X

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/VNRVRX3XJ4O726ARHY4WGAKJD6 \
  | 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: ab6358df774f1dfd78113e396301491f9f720a2c5d316ff70ca660352b7a229a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c4db014efc15efda5fc085858d79a5880a31b61e9f23e1d5bed16513eb8bae5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-06T04:00:31Z",
    "title_canon_sha256": "e9b015e88a3cf09739afa327df550ac1a24329db9e309c50f8f96810b0e22245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04646",
    "kind": "arxiv",
    "version": 1
  }
}