Pith Number

pith:MXWSDAQG

pith:2012:MXWSDAQGU46XI4ULGOZBQ4IT4A

not attested not anchored not stored refs pending

Spectral theory of a Neumann-Poincar\'e-type operator and analysis of anomalous localized resonance II

Giulio Ciraolo, Graeme W. Milton, Habib Ammari, Hyeonbae Kang, Hyundae Lee

arxiv:1212.5066 v1 · 2012-12-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXWSDAQGU46XI4ULGOZBQ4IT4A}

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	2026-05-18T01:52:29.829460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ed218206a73d74728b33b2187113e00b67ffe57480915b9cb75b00025171a2

Aliases

arxiv: 1212.5066 · arxiv_version: 1212.5066v1 · doi: 10.48550/arxiv.1212.5066 · pith_short_12: MXWSDAQGU46X · pith_short_16: MXWSDAQGU46XI4UL · pith_short_8: MXWSDAQG

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/MXWSDAQGU46XI4ULGOZBQ4IT4A \
  | 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: 65ed218206a73d74728b33b2187113e00b67ffe57480915b9cb75b00025171a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbfbd8bb1052b79d91731f053efd8916c6f3a6c3f0c2d8e7a5aff4e894f590ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-20T14:49:13Z",
    "title_canon_sha256": "a3056a711125fce32c71859d01fa3f995d975d0e654fc3cc87cbf968056c579a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5066",
    "kind": "arxiv",
    "version": 1
  }
}