Pith Number

pith:P7RTJSYL

pith:2012:P7RTJSYLZWOZRBSSEZNMSH2D4P

not attested not anchored not stored refs pending

Localization effect for a spectral problem in a perforated domain with Fourier boundary cconditions

Andrey Piatnitski, Iryna Pankratova, Valeria Chiado Piat

arxiv:1211.3899 v1 · 2012-11-16 · 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{P7RTJSYLZWOZRBSSEZNMSH2D4P}

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	2026-05-18T03:40:37.654668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe334cb0bcd9d988652265ac91f43e3e449fde66395a89f6e6c4686b6140293

Aliases

arxiv: 1211.3899 · arxiv_version: 1211.3899v1 · doi: 10.48550/arxiv.1211.3899 · pith_short_12: P7RTJSYLZWOZ · pith_short_16: P7RTJSYLZWOZRBSS · pith_short_8: P7RTJSYL

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/P7RTJSYLZWOZRBSSEZNMSH2D4P \
  | 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: 7fe334cb0bcd9d988652265ac91f43e3e449fde66395a89f6e6c4686b6140293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45af347578664bbd9e44b3f16c159b170a11711e4d51ff2b0abfb4f88973f2b9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-16T14:21:20Z",
    "title_canon_sha256": "f9f2fefc297182c3192e4814d0b61275d3cf7b4964c2989a32952f91307269ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3899",
    "kind": "arxiv",
    "version": 1
  }
}