Pith Number

pith:DZAHC4CF

pith:2014:DZAHC4CF6LLCI62IR3ZV7EWMCL

not attested not anchored not stored refs pending

Hardy-type inequalities for vector fields with the tangential components vanishing

Xingfei Xiang, Zhibing Zhang

arxiv:1403.3989 v1 · 2014-03-17 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZAHC4CF6LLCI62IR3ZV7EWMCL}

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	2026-05-18T02:56:13.008160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e40717045f2d6247b488ef35f92cc12eb4152368befa15df7cc3f311010e2cf

Aliases

arxiv: 1403.3989 · arxiv_version: 1403.3989v1 · doi: 10.48550/arxiv.1403.3989 · pith_short_12: DZAHC4CF6LLC · pith_short_16: DZAHC4CF6LLCI62I · pith_short_8: DZAHC4CF

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/DZAHC4CF6LLCI62IR3ZV7EWMCL \
  | 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: 1e40717045f2d6247b488ef35f92cc12eb4152368befa15df7cc3f311010e2cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eda04b0a9ec9ee8ae304fff42f8525c82a594a174ae1ffec98d2305639a71c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-17T02:43:44Z",
    "title_canon_sha256": "f8009eaf27e422db856dd58b95ddf80b32679f22d531f52e8b687555dc23ae14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3989",
    "kind": "arxiv",
    "version": 1
  }
}