Pith Number

pith:XPOAVAGN

pith:2025:XPOAVAGNNOZFJCVSBNB6I5NAZB

not attested not anchored not stored refs pending

High-order Regularity Theory for High-contrast Elliptic Homogenization

Heikki Lohi

arxiv:2510.00737 v3 · 2025-10-01 · 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{XPOAVAGNNOZFJCVSBNB6I5NAZB}

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	2026-07-31T01:08:47.725014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

bbdc0a80cd6bb2548ab20b43e475a0c850fa8a5f5f3359cece860d6010857cf7

Aliases

arxiv: 2510.00737 · arxiv_version: 2510.00737v3 · doi: 10.48550/arxiv.2510.00737 · pith_short_12: XPOAVAGNNOZF · pith_short_16: XPOAVAGNNOZFJCVS · pith_short_8: XPOAVAGN

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/XPOAVAGNNOZFJCVSBNB6I5NAZB \
  | 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: bbdc0a80cd6bb2548ab20b43e475a0c850fa8a5f5f3359cece860d6010857cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "631151c0cbbd408189855a193a113f713ca02965b06c0c2df4fcf049e3b4a7f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-10-01T10:20:26Z",
    "title_canon_sha256": "960ff4ee0544682b49b065f78510049fad6194c71ac4cab3dcf680f8c0080fca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.00737",
    "kind": "arxiv",
    "version": 3
  }
}