Pith Number

pith:Y7WBLIW7

pith:2012:Y7WBLIW7GUM5FGRLKD6NDZNPBK

not attested not anchored not stored refs pending

Nonlinear eigenvalue problem for optimal resonances in optical cavities

I. M. Karabash

arxiv:1207.6073 v1 · 2012-07-25 · math.OC · math.SP · 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{Y7WBLIW7GUM5FGRLKD6NDZNPBK}

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	2026-05-18T03:32:58.913640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7ec15a2df3519d29a2b50fcd1e5af0abb70c2410be082e799ccc617a427984f

Aliases

arxiv: 1207.6073 · arxiv_version: 1207.6073v1 · doi: 10.48550/arxiv.1207.6073 · pith_short_12: Y7WBLIW7GUM5 · pith_short_16: Y7WBLIW7GUM5FGRL · pith_short_8: Y7WBLIW7

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/Y7WBLIW7GUM5FGRLKD6NDZNPBK \
  | 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: c7ec15a2df3519d29a2b50fcd1e5af0abb70c2410be082e799ccc617a427984f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c160eea3a638cc55bad54251cacb59064546e9e44986ab33a50798b36d5bcf",
    "cross_cats_sorted": [
      "math.SP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-07-25T18:09:07Z",
    "title_canon_sha256": "a7ea5cb931c87827ff38e0e3eccbdfeb2c00319b3b85e0f798ad2bf81d648d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6073",
    "kind": "arxiv",
    "version": 1
  }
}