Pith Number

pith:VM5U6OHI

pith:2019:VM5U6OHIJF57HPWU4M66TG5XTK

not attested not anchored not stored refs pending

Real-Variable Characterizations of Local Hardy Spaces on Spaces of Homogeneous Type

Dachun Yang, Wen Yuan, Ziyi He

arxiv:1908.01911 v1 · 2019-08-06 · math.CA · math.AP · 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{VM5U6OHIJF57HPWU4M66TG5XTK}

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	2026-07-04T23:51:49.209090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab3b4f38e8497bf3bed4e33de99bb79aa798faa10941c015c5c58f222294224c

Aliases

arxiv: 1908.01911 · arxiv_version: 1908.01911v1 · doi: 10.48550/arxiv.1908.01911 · pith_short_12: VM5U6OHIJF57 · pith_short_16: VM5U6OHIJF57HPWU · pith_short_8: VM5U6OHI

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/VM5U6OHIJF57HPWU4M66TG5XTK \
  | 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: ab3b4f38e8497bf3bed4e33de99bb79aa798faa10941c015c5c58f222294224c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c9cb5e05d9c1a662cebfebc11dc6285216c06ca8870d43006d71d2e7da7e9ea",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-06T00:39:55Z",
    "title_canon_sha256": "9b92acf3e2de013ba4cb11fc545c496b9fa19af1effe3d46ac0615d01cbe8680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01911",
    "kind": "arxiv",
    "version": 1
  }
}