Pith Number

pith:JJ7RJ474

pith:2026:JJ7RJ474CKAQKUKELKJSITCDCA

not attested not anchored not stored refs pending

Bilinear rough singular integrals under a fractional geometric condition

Binwei Dan, Moyan Qin, Qingying Xue

arxiv:2606.27141 v1 · 2026-06-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJ7RJ474CKAQKUKELKJSITCDCA}

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	2026-06-26T01:16:11.369021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a7f14f3fc12810551445a93244c431014ef3fd4306161031f8abae2622d5d8c

Aliases

arxiv: 2606.27141 · arxiv_version: 2606.27141v1 · doi: 10.48550/arxiv.2606.27141 · pith_short_12: JJ7RJ474CKAQ · pith_short_16: JJ7RJ474CKAQKUKE · pith_short_8: JJ7RJ474

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/JJ7RJ474CKAQKUKELKJSITCDCA \
  | 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: 4a7f14f3fc12810551445a93244c431014ef3fd4306161031f8abae2622d5d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b606a35eda8a6d09fe9125c425e5482ce0693813988b6157198a7422b460f82",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-25T15:14:20Z",
    "title_canon_sha256": "941b6420493eb49f618349afdf1ab2ae1970105caafca27604b458b351ed4551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27141",
    "kind": "arxiv",
    "version": 1
  }
}