Pith Number

pith:SFD7ZOCR

pith:2009:SFD7ZOCREEIYTEA4Z6YH3WXEXO

not attested not anchored not stored refs pending

Asymptotic analysis, polarization matrices and topological derivatives for piezoelectric materials with small voids

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

arxiv:0910.1474 v1 · 2009-10-08 · math.OC · 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{SFD7ZOCREEIYTEA4Z6YH3WXEXO}

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	2026-05-18T04:04:55.145957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9147fcb851211189901ccfb07ddae4bbacbda1e695363ffecdc562e032c2e3fa

Aliases

arxiv: 0910.1474 · arxiv_version: 0910.1474v1 · doi: 10.48550/arxiv.0910.1474 · pith_short_12: SFD7ZOCREEIY · pith_short_16: SFD7ZOCREEIYTEA4 · pith_short_8: SFD7ZOCR

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/SFD7ZOCREEIYTEA4Z6YH3WXEXO \
  | 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: 9147fcb851211189901ccfb07ddae4bbacbda1e695363ffecdc562e032c2e3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "818f9bb0769aa76d6a1a6767a38c552ff12a611e91d3e58641aa272e3fea2fc0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-10-08T11:29:30Z",
    "title_canon_sha256": "81199b2c0b64cdf16438266325fbaf41a7bd22609197ff10ba6dd85bc99d2c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1474",
    "kind": "arxiv",
    "version": 1
  }
}