Pith Number

pith:432E7WOU

pith:2025:432E7WOU4V7QXW3N2ARYNRDCCA

not attested not anchored not stored refs pending

Homogenisation and spectral convergence of high-contrast convolution type operators

Andrey Piatnitski, Igor Velcic, Mikhail Cherdantsev

arxiv:2507.02638 v1 · 2025-07-03 · 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{432E7WOU4V7QXW3N2ARYNRDCCA}

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	2026-07-05T11:31:32.185367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f44fd9d4e57f0bdb6dd02386c462102c08f3a8e9d9e0c5259594b884d3476f

Aliases

arxiv: 2507.02638 · arxiv_version: 2507.02638v1 · doi: 10.48550/arxiv.2507.02638 · pith_short_12: 432E7WOU4V7Q · pith_short_16: 432E7WOU4V7QXW3N · pith_short_8: 432E7WOU

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/432E7WOU4V7QXW3N2ARYNRDCCA \
  | 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: e6f44fd9d4e57f0bdb6dd02386c462102c08f3a8e9d9e0c5259594b884d3476f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02ab3d35319407978024d2903b9dbfe22d403462bb5ae417742c72728bfcf56",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-03T14:02:52Z",
    "title_canon_sha256": "7c909887633eaaba4753a41a259b4497511bf5a8a19637762655819c9dab8b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02638",
    "kind": "arxiv",
    "version": 1
  }
}