Pith Number

pith:WZXAN6ZU

pith:2015:WZXAN6ZUY7NODMOK73G6UYYYPA

not attested not anchored not stored refs pending

Spectra of open waveguides in periodic media

G. Cardone, J. Taskinen, S.A. Nazarov

arxiv:1509.01375 v1 · 2015-09-04 · math.SP · 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{WZXAN6ZUY7NODMOK73G6UYYYPA}

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	2026-05-18T01:33:57.794171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b66e06fb34c7dae1b1cafecdea6318781b3d6e30349f1c97abb03a32fa9b06b5

Aliases

arxiv: 1509.01375 · arxiv_version: 1509.01375v1 · doi: 10.48550/arxiv.1509.01375 · pith_short_12: WZXAN6ZUY7NO · pith_short_16: WZXAN6ZUY7NODMOK · pith_short_8: WZXAN6ZU

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/WZXAN6ZUY7NODMOK73G6UYYYPA \
  | 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: b66e06fb34c7dae1b1cafecdea6318781b3d6e30349f1c97abb03a32fa9b06b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35173c2cd549d3fa3fd68684bcd997f75c0a2731026f98d21d2b950cb24b6ce3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-09-04T09:11:10Z",
    "title_canon_sha256": "807d73c02f87b881846059cdc5f7c6989bd63a2c052d3bf965790bc0d8d878da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01375",
    "kind": "arxiv",
    "version": 1
  }
}