Pith Number

pith:LRSL5FGU

pith:2017:LRSL5FGUISJ5HKPVML3454LZJE

not attested not anchored not stored refs pending

Improved Hardy and Rellich inequalities on nonreversible Finsler manifolds

Lixia Yuan, Wei Zhao, Yibing Shen

arxiv:1710.00135 v1 · 2017-09-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRSL5FGUISJ5HKPVML3454LZJE}

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	2026-05-17T23:43:18.471128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c64be94d44493d3a9f562f7cef179492a4ce2fbe72a0ee873265f473761c6b7

Aliases

arxiv: 1710.00135 · arxiv_version: 1710.00135v1 · doi: 10.48550/arxiv.1710.00135 · pith_short_12: LRSL5FGUISJ5 · pith_short_16: LRSL5FGUISJ5HKPV · pith_short_8: LRSL5FGU

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/LRSL5FGUISJ5HKPVML3454LZJE \
  | 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: 5c64be94d44493d3a9f562f7cef179492a4ce2fbe72a0ee873265f473761c6b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70385355f99ab4331f18872f1a69d68984f04cf4b44ea23dfd5d69f835df750c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-30T01:44:42Z",
    "title_canon_sha256": "2fc6aa7a64f21be2a187e5b872c6252302c41b6dc82f47ca26b07da3d0d640d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00135",
    "kind": "arxiv",
    "version": 1
  }
}