Pith Number

pith:FRJ5BSEH

pith:2016:FRJ5BSEHNPJJUQ2HIL627KY2W2

not attested not anchored not stored refs pending

Periodic homogenization of non-local operators with a convolution type kernel

Andrey Piatnitski, Elena Zhizhina

arxiv:1604.05038 v1 · 2016-04-18 · math.FA · 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{FRJ5BSEHNPJJUQ2HIL627KY2W2}

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	2026-05-18T01:16:55.987430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c53d0c8876bd29a434742fdafab1ab68cd6748b0858cb8595f5b5f46060b912

Aliases

arxiv: 1604.05038 · arxiv_version: 1604.05038v1 · doi: 10.48550/arxiv.1604.05038 · pith_short_12: FRJ5BSEHNPJJ · pith_short_16: FRJ5BSEHNPJJUQ2H · pith_short_8: FRJ5BSEH

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/FRJ5BSEHNPJJUQ2HIL627KY2W2 \
  | 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: 2c53d0c8876bd29a434742fdafab1ab68cd6748b0858cb8595f5b5f46060b912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bdcb2c2883f3b5cbae0a55ebbeae26fab3e4479737ee3d54257e6fb8308945c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-18T08:46:57Z",
    "title_canon_sha256": "78614e8943f50e9233c4dae2676f001d49a8629d723fb2301588ba516d025e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05038",
    "kind": "arxiv",
    "version": 1
  }
}