Pith Number

pith:ZL5WLSEN

pith:2015:ZL5WLSENGWWC6GYEDTXWJ3GIG7

not attested not anchored not stored refs pending

Anisotropic Hardy inequalities

Francesco Della Pietra, Giuseppina di Blasio, Nunzia Gavitone

arxiv:1512.05513 v1 · 2015-12-17 · 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{ZL5WLSENGWWC6GYEDTXWJ3GIG7}

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	2026-05-18T01:24:09.894356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cafb65c88d35ac2f1b041cef64ecc837d07e5ed677999f69024a44ddeb85a5d7

Aliases

arxiv: 1512.05513 · arxiv_version: 1512.05513v1 · doi: 10.48550/arxiv.1512.05513 · pith_short_12: ZL5WLSENGWWC · pith_short_16: ZL5WLSENGWWC6GYE · pith_short_8: ZL5WLSEN

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/ZL5WLSENGWWC6GYEDTXWJ3GIG7 \
  | 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: cafb65c88d35ac2f1b041cef64ecc837d07e5ed677999f69024a44ddeb85a5d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "607fb9bb4e68c288f4e55293ca99f8140db7f65929fe132c0e54b10ad8ccce1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-17T10:04:33Z",
    "title_canon_sha256": "f001664aec146faef7236224821a73e7a92e351df40068f5a5dbc93515fe80eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05513",
    "kind": "arxiv",
    "version": 1
  }
}