Pith Number

pith:2GEOAXYP

pith:2009:2GEOAXYP3XCKLBSUFKWD46BNDV

not attested not anchored not stored refs pending

On the Kleinman-Martin integral equation method for electromagnetic scattering by a dielectric body

Fr\'ed\'erique Le Lou\"er (IRMAR), Martin Costabel (IRMAR)

arxiv:0912.1419 v2 · 2009-12-08 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GEOAXYP3XCKLBSUFKWD46BNDV}

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	2026-05-18T04:27:57.200242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d188e05f0fddc4a586542aac3e782d1d49b978a940a36ba390011bdf038691ef

Aliases

arxiv: 0912.1419 · arxiv_version: 0912.1419v2 · doi: 10.48550/arxiv.0912.1419 · pith_short_12: 2GEOAXYP3XCK · pith_short_16: 2GEOAXYP3XCKLBSU · pith_short_8: 2GEOAXYP

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/2GEOAXYP3XCKLBSUFKWD46BNDV \
  | 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: d188e05f0fddc4a586542aac3e782d1d49b978a940a36ba390011bdf038691ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57cbc8abee5477d0a166449d57c805906a16ea0901a6b5f2ce5b6acd7b9885c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-12-08T07:25:12Z",
    "title_canon_sha256": "fd3f8a7682a77b3148189ddfc2bf19b52a0b7178863c04bdaf25ce84abc73d3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1419",
    "kind": "arxiv",
    "version": 2
  }
}