Pith Number

pith:F54JXGEH

pith:2019:F54JXGEHO3IEZDJCRVPFGU4YMG

not attested not anchored not stored refs pending

Euler-Lagrange equations for full topology optimization of the Q-factor in leaky cavities

Illya M. Karabash, Matthias Eller

arxiv:1904.09840 v2 · 2019-04-06 · math.OC · math.NA · 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{F54JXGEHO3IEZDJCRVPFGU4YMG}

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	2026-05-17T23:44:37.558784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f789b988776d04c8d228d5e5353986188efa17044f2de351982854632144ebd

Aliases

arxiv: 1904.09840 · arxiv_version: 1904.09840v2 · doi: 10.48550/arxiv.1904.09840 · pith_short_12: F54JXGEHO3IE · pith_short_16: F54JXGEHO3IEZDJC · pith_short_8: F54JXGEH

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/F54JXGEHO3IEZDJCRVPFGU4YMG \
  | 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: 2f789b988776d04c8d228d5e5353986188efa17044f2de351982854632144ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84e2c575fbde60480795c7fd7ca5618bb2b154cf98f4c4f248893b6f629db555",
    "cross_cats_sorted": [
      "math.NA",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-04-06T18:01:24Z",
    "title_canon_sha256": "d221c1afd8d74cda970d63d05e5814d6e9a659f188646f2322c56c30d206e162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09840",
    "kind": "arxiv",
    "version": 2
  }
}