Pith Number

pith:IRKO6S2S

pith:2018:IRKO6S2SRQV5KWFWTJHMA7GWWK

not attested not anchored not stored refs pending

Homogenization of biased convolution type operators

Andrey Piatnitski, Elena Zhizhina

arxiv:1812.00027 v1 · 2018-11-30 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRKO6S2SRQV5KWFWTJHMA7GWWK}

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	2026-05-17T23:59:27.529553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4454ef4b528c2bd558b69a4ec07cd6b2b66d204ae78d7f4afb2f7bbaf6cca1c6

Aliases

arxiv: 1812.00027 · arxiv_version: 1812.00027v1 · doi: 10.48550/arxiv.1812.00027 · pith_short_12: IRKO6S2SRQV5 · pith_short_16: IRKO6S2SRQV5KWFW · pith_short_8: IRKO6S2S

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/IRKO6S2SRQV5KWFWTJHMA7GWWK \
  | 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: 4454ef4b528c2bd558b69a4ec07cd6b2b66d204ae78d7f4afb2f7bbaf6cca1c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8770275f14d1b7bca246bc49af00cce7bbec9ddb4abce3b47fa8315c4ed2e2b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-30T19:23:34Z",
    "title_canon_sha256": "d9588afdf710e04a8c91bfbeb6062290958517015424a92278e3cd5c4178052c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00027",
    "kind": "arxiv",
    "version": 1
  }
}