Pith Number

pith:SWKDWPF5

pith:2026:SWKDWPF5WNHF7SJM2STGKBFSOX

not attested not anchored not stored refs pending

Coupling Does Not Reduce the Auxiliary-Mode Count for $1/|\omega|$ Spectra in Passive Lindblad Networks

Qing-Ao Xiang, Xin-Yuan Yang, Ya-Ju Song, Yan Liu

arxiv:2608.04539 v1 · 2026-08-05 · 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{SWKDWPF5WNHF7SJM2STGKBFSOX}

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	2026-08-06T01:35:48.115194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95943b3cbdb34e5fc92cd4a66504b275c5fd58e6032328abcfe12274513bd2cd

Aliases

arxiv: 2608.04539 · arxiv_version: 2608.04539v1 · doi: 10.48550/arxiv.2608.04539 · pith_short_12: SWKDWPF5WNHF · pith_short_16: SWKDWPF5WNHF7SJM · pith_short_8: SWKDWPF5

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/SWKDWPF5WNHF7SJM2STGKBFSOX \
  | 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: 95943b3cbdb34e5fc92cd4a66504b275c5fd58e6032328abcfe12274513bd2cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "299ee36ede94926b069e8093a436abc448f7e1ad413eab123244c5b2b2835ea1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-05T07:15:44Z",
    "title_canon_sha256": "05f5a4f4d60ee4bf0b9991399f5a03e477c50add63fccb27b68d780b6057054f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04539",
    "kind": "arxiv",
    "version": 1
  }
}