Pith Number

pith:NY44K2HY

pith:2026:NY44K2HY5AXOOKW6VCEQF2NWT5

not attested not anchored not stored refs pending

Impact of mode completeness on the accuracy of the coupling theory of quasinormal modes: a strict numerical demonstration

Can Tao, Haitao Liu, Junda Zhu

arxiv:2606.11630 v1 · 2026-06-10 · 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{NY44K2HY5AXOOKW6VCEQF2NWT5}

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	2026-06-11T01:09:59.864493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e39c568f8e82ee72adea88902e9b69f61a91b609fd68288f56fb83a42bdb5bb

Aliases

arxiv: 2606.11630 · arxiv_version: 2606.11630v1 · doi: 10.48550/arxiv.2606.11630 · pith_short_12: NY44K2HY5AXO · pith_short_16: NY44K2HY5AXOOKW6 · pith_short_8: NY44K2HY

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/NY44K2HY5AXOOKW6VCEQF2NWT5 \
  | 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: 6e39c568f8e82ee72adea88902e9b69f61a91b609fd68288f56fb83a42bdb5bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4ca247531a7f2b18c340eb06d8d54ce70b23b6de1c69cc982a56b963a340193",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-10T03:49:50Z",
    "title_canon_sha256": "9f2ed60f25cb32fad2f3c1f3d8e05608610935119de0d4d8abc2106b1798f807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11630",
    "kind": "arxiv",
    "version": 1
  }
}