Pith Number

pith:CIMNMGW2

pith:2017:CIMNMGW2VNNGAZS3HIJIHXOCBL

not attested not anchored not stored refs pending

Limiting weak-type behaviors of some integral operators

Huoxiong Wu, JIanxun He, Weichao Guo

arxiv:1710.10602 v1 · 2017-10-29 · 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{CIMNMGW2VNNGAZS3HIJIHXOCBL}

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	2026-05-18T00:31:46.996725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1218d61adaab5a60665b3a1283ddc20ad6c1ad4a99034cb925b5b04b24597308

Aliases

arxiv: 1710.10602 · arxiv_version: 1710.10602v1 · doi: 10.48550/arxiv.1710.10602 · pith_short_12: CIMNMGW2VNNG · pith_short_16: CIMNMGW2VNNGAZS3 · pith_short_8: CIMNMGW2

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/CIMNMGW2VNNGAZS3HIJIHXOCBL \
  | 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: 1218d61adaab5a60665b3a1283ddc20ad6c1ad4a99034cb925b5b04b24597308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5197261ce2ff561951ed21c26c350d49f2beda2aadcf8b3ab333cf7de6665d89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-29T12:23:23Z",
    "title_canon_sha256": "b5067f49b40482e1496a9920a9c0869fcd2ee7186fcc439197abc6623b4c1ded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10602",
    "kind": "arxiv",
    "version": 1
  }
}