Pith Number

pith:EPNBCDXJ

pith:2026:EPNBCDXJ23UAPDK2UXO4AOQT2I

not attested not anchored not stored refs pending

Endpoint Criteria for One-Dimensional Bilinear Rough Singular Integrals

Binwei Dan, Qingying Xue

arxiv:2607.17207 v1 · 2026-07-19 · math.CA · 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{EPNBCDXJ23UAPDK2UXO4AOQT2I}

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	2026-07-21T01:21:20.920082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23da110ee9d6e8078d5aa5ddc03a13d21d792b9a8ef19f839cb855853c71ed46

Aliases

arxiv: 2607.17207 · arxiv_version: 2607.17207v1 · doi: 10.48550/arxiv.2607.17207 · pith_short_12: EPNBCDXJ23UA · pith_short_16: EPNBCDXJ23UAPDK2 · pith_short_8: EPNBCDXJ

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/EPNBCDXJ23UAPDK2UXO4AOQT2I \
  | 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: 23da110ee9d6e8078d5aa5ddc03a13d21d792b9a8ef19f839cb855853c71ed46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d732446e2cfd5bffdf52e3a12fcda7e6cf9c1a8efa19efa9482ba170e57bc9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-19T11:55:43Z",
    "title_canon_sha256": "d82278d623071899c7ea4e2b4181099e34207d25852b590380e4e680c311a223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17207",
    "kind": "arxiv",
    "version": 1
  }
}