Pith Number

pith:MHPTP3ML

pith:2014:MHPTP3MLJHRZ7KJJZTLMTUFYMP

not attested not anchored not stored refs pending

On the product of functions in $BMO$ and $H^1$ over spaces of homogeneous type

Luong Dang Ky

arxiv:1407.0280 v3 · 2014-07-01 · 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{MHPTP3MLJHRZ7KJJZTLMTUFYMP}

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	2026-05-18T02:19:16.732917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61df37ed8b49e39fa929ccd6c9d0b863c29991cf237b6bce36ec9e756e84c76a

Aliases

arxiv: 1407.0280 · arxiv_version: 1407.0280v3 · doi: 10.48550/arxiv.1407.0280 · pith_short_12: MHPTP3MLJHRZ · pith_short_16: MHPTP3MLJHRZ7KJJ · pith_short_8: MHPTP3ML

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/MHPTP3MLJHRZ7KJJZTLMTUFYMP \
  | 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: 61df37ed8b49e39fa929ccd6c9d0b863c29991cf237b6bce36ec9e756e84c76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2dea71136857ee9a82306a67829ece99eca131de8950d3a8e765ef1e6b37871",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-07-01T15:29:28Z",
    "title_canon_sha256": "4615dc62b15143ef75d64a1798a42de61fa83ec101b8e2793e6337b0d6d7428f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0280",
    "kind": "arxiv",
    "version": 3
  }
}