Pith Number

pith:3MNDDZNR

pith:2017:3MNDDZNRJ4V7SKI6RZ4RUEOP4N

not attested not anchored not stored refs pending

Conditions for Boundedness into Hardy spaces

Hanh Van Nguyen, Loukas Grafakos, Shohei Nakamura, Yoshihiro Sawano

arxiv:1702.02229 v1 · 2017-02-08 · 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{3MNDDZNRJ4V7SKI6RZ4RUEOP4N}

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	2026-05-18T00:51:06.447404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1a31e5b14f2bf9291e8e791a11cfe359bb7cf254ca96ee17bddddcfc23fe4b

Aliases

arxiv: 1702.02229 · arxiv_version: 1702.02229v1 · doi: 10.48550/arxiv.1702.02229 · pith_short_12: 3MNDDZNRJ4V7 · pith_short_16: 3MNDDZNRJ4V7SKI6 · pith_short_8: 3MNDDZNR

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/3MNDDZNRJ4V7SKI6RZ4RUEOP4N \
  | 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: db1a31e5b14f2bf9291e8e791a11cfe359bb7cf254ca96ee17bddddcfc23fe4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4bd329a22b627a99e51de6d5376504765a3d5ddb832dbf3e788238883b045a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-08T00:07:19Z",
    "title_canon_sha256": "6c2d071116cf916ded6316c9b38c8ead4098bc800e6492189639724dda0a3bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02229",
    "kind": "arxiv",
    "version": 1
  }
}