Pith Number

pith:BWFVJHGK

pith:2016:BWFVJHGKR4Z3PC4K4IHYOYP66N

not attested not anchored not stored refs pending

Multilinear fractional integral operators on non-homogeneous metric measure spaces

Chen Xu, Huajun Gong, Rulong Xie

arxiv:1602.05742 v1 · 2016-02-18 · 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{BWFVJHGKR4Z3PC4K4IHYOYP66N}

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	2026-05-18T01:20:23.319642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d8b549cca8f33b78b8ae20f8761fef355beb637b2f6a09256d0269035199e94

Aliases

arxiv: 1602.05742 · arxiv_version: 1602.05742v1 · doi: 10.48550/arxiv.1602.05742 · pith_short_12: BWFVJHGKR4Z3 · pith_short_16: BWFVJHGKR4Z3PC4K · pith_short_8: BWFVJHGK

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/BWFVJHGKR4Z3PC4K4IHYOYP66N \
  | 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: 0d8b549cca8f33b78b8ae20f8761fef355beb637b2f6a09256d0269035199e94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "989cb4c35237513c72aa293c49156191b35adde24b7f8f1bac1ae5782108d999",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-18T10:17:03Z",
    "title_canon_sha256": "980e467163a3ae073f568da9e64f4f3b4ad9991c520fb3ffa689b278e2ac9005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05742",
    "kind": "arxiv",
    "version": 1
  }
}