Pith Number

pith:WUAJ5XNO

pith:2015:WUAJ5XNOGV6HHGLRPGWBSX5ZSC

not attested not anchored not stored refs pending

Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities

Ievgen V. Verbytskyi, Illya M. Karabash, Olga M. Logachova

arxiv:1508.04706 v1 · 2015-08-19 · math.OC · math.AP · math.CA · 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{WUAJ5XNOGV6HHGLRPGWBSX5ZSC}

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	2026-05-18T00:09:36.938000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5009eddae357c73997179ac195fb9909f96ac79daf8b5a2a03a392313307172

Aliases

arxiv: 1508.04706 · arxiv_version: 1508.04706v1 · doi: 10.48550/arxiv.1508.04706 · pith_short_12: WUAJ5XNOGV6H · pith_short_16: WUAJ5XNOGV6HHGLR · pith_short_8: WUAJ5XNO

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/WUAJ5XNOGV6HHGLRPGWBSX5ZSC \
  | 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: b5009eddae357c73997179ac195fb9909f96ac79daf8b5a2a03a392313307172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffbc68fd12b61b0866a36410689065e81e34291194b6126ea3cba77b9b7dc968",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.SP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-08-19T17:08:38Z",
    "title_canon_sha256": "96ed81f7311861c7f83be8bb6c55459dcd5b4a0a6b50130c065d2be1c1c7ddbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04706",
    "kind": "arxiv",
    "version": 1
  }
}