Pith Number

pith:EDV4YD4J

pith:2015:EDV4YD4J47GCEIMGTIMTQ542KP

not attested not anchored not stored refs pending

Variable exponent Hardy-type inequalities in $\mathbb{R}^n$

Iwona Skrzypczak, Sylwia Dudek

arxiv:1503.07317 v2 · 2015-03-25 · 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{EDV4YD4J47GCEIMGTIMTQ542KP}

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	2026-05-18T02:00:02.052677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20ebcc0f89e7cc2221869a1938779a53cfee6a05cb2d18680306fa0421f6559d

Aliases

arxiv: 1503.07317 · arxiv_version: 1503.07317v2 · doi: 10.48550/arxiv.1503.07317 · pith_short_12: EDV4YD4J47GC · pith_short_16: EDV4YD4J47GCEIMG · pith_short_8: EDV4YD4J

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/EDV4YD4J47GCEIMGTIMTQ542KP \
  | 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: 20ebcc0f89e7cc2221869a1938779a53cfee6a05cb2d18680306fa0421f6559d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "facb24acbdb3bb34e6566bec10b7b44dd79bced2e509855022c489379ffd2468",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-25T09:56:37Z",
    "title_canon_sha256": "6ef3fce82743d9aa247791ad0e0cac26b104ada033fde16302eadced6bde7798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07317",
    "kind": "arxiv",
    "version": 2
  }
}