Pith Number

pith:P6ZFUDWJ

pith:2018:P6ZFUDWJLVO7RHOZQ3NS4V54HB

not attested not anchored not stored refs pending

A class of weighted Hardy inequalities and applications to evolution problems

Anna Canale, Ciro Tarantino, Francesco Pappalardo

arxiv:1812.03193 v3 · 2018-12-07 · 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{P6ZFUDWJLVO7RHOZQ3NS4V54HB}

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	2026-05-17T23:47:35.938062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb25a0ec95d5df89dd986db2e57bc38648a2f7f7a0574c6838282358e126adc

Aliases

arxiv: 1812.03193 · arxiv_version: 1812.03193v3 · doi: 10.48550/arxiv.1812.03193 · pith_short_12: P6ZFUDWJLVO7 · pith_short_16: P6ZFUDWJLVO7RHOZ · pith_short_8: P6ZFUDWJ

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/P6ZFUDWJLVO7RHOZQ3NS4V54HB \
  | 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: 7fb25a0ec95d5df89dd986db2e57bc38648a2f7f7a0574c6838282358e126adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b83fd517ce6f4327865e247a9c3c7aab2bc7f56cf6e622315814c4586b673959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-07T19:34:29Z",
    "title_canon_sha256": "ed9c496a42bf3c047caf0f4951a5dbd2fd0e780f991c2ed3bd2c52c37d72a942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03193",
    "kind": "arxiv",
    "version": 3
  }
}