Pith Number

pith:BQBQCM6R

pith:2012:BQBQCM6RD5DU5JV7XH3MKAV5RI

not attested not anchored not stored refs pending

Spectral analysis of the Neumann-Poincar\'e operator and characterization of the gradient blow-up

Giulio Ciraolo, Habib Ammari, Hyeonbae Kang, Hyundae Lee, KiHyun Yun

arxiv:1206.2074 v1 · 2012-06-11 · 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{BQBQCM6RD5DU5JV7XH3MKAV5RI}

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	2026-05-18T03:53:53.527812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c030133d11f474ea6bfb9f6c502bd8a1f27a7d6289e256890cd4167852b5d79

Aliases

arxiv: 1206.2074 · arxiv_version: 1206.2074v1 · doi: 10.48550/arxiv.1206.2074 · pith_short_12: BQBQCM6RD5DU · pith_short_16: BQBQCM6RD5DU5JV7 · pith_short_8: BQBQCM6R

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/BQBQCM6RD5DU5JV7XH3MKAV5RI \
  | 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: 0c030133d11f474ea6bfb9f6c502bd8a1f27a7d6289e256890cd4167852b5d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aff1c3f59afa0903a8cbe13652f6b18e8284aad1b00d99e5bdb1010fa0194566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-11T00:40:52Z",
    "title_canon_sha256": "ea6ed0e36c6c042dffce26f8454a29e808f3a8fc56b033782166f0a876b7390e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2074",
    "kind": "arxiv",
    "version": 1
  }
}