Pith Number

pith:OL7WCECK

pith:2012:OL7WCECKZFTJPOE3HFXV36T3E5

not attested not anchored not stored refs pending

Waveguide with non-periodically alternating Dirichlet and Robin conditions: homogenization and asymptotics

Denis Borisov, Giuseppe Cardone, Renata Bunoiu

arxiv:1203.0210 v1 · 2012-03-01 · math.AP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OL7WCECKZFTJPOE3HFXV36T3E5}

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	2026-05-18T02:55:48.686665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72ff61104ac96697b89b396f5dfa7b274366f899d21be854538a96e0afc721dc

Aliases

arxiv: 1203.0210 · arxiv_version: 1203.0210v1 · doi: 10.48550/arxiv.1203.0210 · pith_short_12: OL7WCECKZFTJ · pith_short_16: OL7WCECKZFTJPOE3 · pith_short_8: OL7WCECK

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/OL7WCECKZFTJPOE3HFXV36T3E5 \
  | 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: 72ff61104ac96697b89b396f5dfa7b274366f899d21be854538a96e0afc721dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca7e18068296752b85adcdc6078c8f4cd89b577e7848acc8bdfef2af5ed3fe1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-01T15:10:58Z",
    "title_canon_sha256": "9cac2c5c062ef333c33f4d056740337837fececb6c9e596048e9995cb3f16bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0210",
    "kind": "arxiv",
    "version": 1
  }
}