Pith Number

pith:CMCHV3RX

pith:2026:CMCHV3RX3CFCJ77JILGG7BOFBZ

not attested not anchored not stored refs pending

A geometric approach to QNMs in optics: application to pseudospectrum and structural stability

Jos\'e Luis Jaramillo, Lamis Al Sheikh

arxiv:2607.25133 v1 · 2026-07-27 · physics.optics · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMCHV3RX3CFCJ77JILGG7BOFBZ}

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	2026-07-29T00:25:04.541115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13047aee37d88a24ffe942cc6f85c50e43d697308b385650fc8938f335a5d9ce

Aliases

arxiv: 2607.25133 · arxiv_version: 2607.25133v1 · doi: 10.48550/arxiv.2607.25133 · pith_short_12: CMCHV3RX3CFC · pith_short_16: CMCHV3RX3CFCJ77J · pith_short_8: CMCHV3RX

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/CMCHV3RX3CFCJ77JILGG7BOFBZ \
  | 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: 13047aee37d88a24ffe942cc6f85c50e43d697308b385650fc8938f335a5d9ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6148908cecc3bbcca28b1858bdae1d196a3f9c6f1941d0b288125eeee1c44b39",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-27T23:03:14Z",
    "title_canon_sha256": "140980a9e9ddd24bf7d053e65b2e85e08f715dff1c9dd90d6848327a7149743f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25133",
    "kind": "arxiv",
    "version": 1
  }
}