Pith Number

pith:BLKBKBFH

pith:2015:BLKBKBFHCNKYW2PLPW26D72XAO

not attested not anchored not stored refs pending

Criterion of the boundedness of singular integrals on spaces of homogeneous type

Ji Li, Yanchang Han, Yongsheng Han

arxiv:1601.06124 v1 · 2015-12-15 · math.CA · 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{BLKBKBFHCNKYW2PLPW26D72XAO}

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	2026-05-18T01:22:09.218228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad41504a713558b69eb7db5e1ff5703b7ec84195873c2902f85caad3acd6e14

Aliases

arxiv: 1601.06124 · arxiv_version: 1601.06124v1 · doi: 10.48550/arxiv.1601.06124 · pith_short_12: BLKBKBFHCNKY · pith_short_16: BLKBKBFHCNKYW2PL · pith_short_8: BLKBKBFH

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/BLKBKBFHCNKYW2PLPW26D72XAO \
  | 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: 0ad41504a713558b69eb7db5e1ff5703b7ec84195873c2902f85caad3acd6e14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2e583d0f0eaf29673baa8726a8d177f559561afcc5ca4e86ab82668e0915407",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-15T15:58:21Z",
    "title_canon_sha256": "502911c57375e0be2df4649c120eaa373f383a7266091455c3758f27f8702849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06124",
    "kind": "arxiv",
    "version": 1
  }
}