Pith Number

pith:E3TEVE2C

pith:2013:E3TEVE2CQO34U7XOKXRGRMLGF7

not attested not anchored not stored refs pending

Equivalent boundedness of Marcinkiewicz integrals on non-homogeneous metric measure spaces

Dachun Yang, Haibo Lin

arxiv:1308.5869 v1 · 2013-08-27 · 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{E3TEVE2CQO34U7XOKXRGRMLGF7}

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	2026-05-18T01:47:57.978433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26e64a934283b7ca7eee55e268b1662fe2cee634be32b4615ef7b3c6c8ec8991

Aliases

arxiv: 1308.5869 · arxiv_version: 1308.5869v1 · doi: 10.48550/arxiv.1308.5869 · pith_short_12: E3TEVE2CQO34 · pith_short_16: E3TEVE2CQO34U7XO · pith_short_8: E3TEVE2C

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/E3TEVE2CQO34U7XOKXRGRMLGF7 \
  | 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: 26e64a934283b7ca7eee55e268b1662fe2cee634be32b4615ef7b3c6c8ec8991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "495532ead04fcb640f03943ca1464fc77b10e778761e0fd2848f17d5078421da",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-27T13:41:19Z",
    "title_canon_sha256": "914940927dd3cd9d7ae85f3e63a68b50f46ca6e1752ebf2d93d955eb5958ce33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5869",
    "kind": "arxiv",
    "version": 1
  }
}