Pith Number

pith:F4263EZL

pith:2026:F4263EZLI6PJSYMQVKJSQAYGZ5

not attested not anchored not stored refs pending

Gauge-Engineered Tunable Mode Selection in Non-Hermitian Directed-Graph Networks

Wenwen Liu, Zhang Shuang

arxiv:2605.15863 v1 · 2026-05-15 · quant-ph · 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{F4263EZLI6PJSYMQVKJSQAYGZ5}

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	2026-05-20T00:01:22.538222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f35ed932b479e996190aa93280306cf54fa9866b3736dd4e23ea9e71670a1a7

Aliases

arxiv: 2605.15863 · arxiv_version: 2605.15863v1 · doi: 10.48550/arxiv.2605.15863 · pith_short_12: F4263EZLI6PJ · pith_short_16: F4263EZLI6PJSYMQ · pith_short_8: F4263EZL

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/F4263EZLI6PJSYMQVKJSQAYGZ5 \
  | 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: 2f35ed932b479e996190aa93280306cf54fa9866b3736dd4e23ea9e71670a1a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fceaa51f79375504e49f7558a6898263b524a7ebf78fd3e15fbb1eeafa4d995c",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-15T11:27:09Z",
    "title_canon_sha256": "e7dcbfbd0fb93b08c56f7dcc1d43f21264f1e5291473ba05fcc9dde84ef64293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15863",
    "kind": "arxiv",
    "version": 1
  }
}