Pith Number

pith:HRWOO6DD

pith:2016:HRWOO6DD3KHNFTOSOITBOMY4F2

not attested not anchored not stored refs pending

A Moser type inequality for Bessel Laplace equations and applications

Dongyong Yang, Ji Li, Xuan Thinh Duong, Zihua Guo

arxiv:1607.04101 v1 · 2016-07-14 · 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{HRWOO6DD3KHNFTOSOITBOMY4F2}

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	2026-05-18T01:11:04.107461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c6ce77863da8ed2cdd2722617331c2eaa4cad3ac750195b785fc6c3538bcb20

Aliases

arxiv: 1607.04101 · arxiv_version: 1607.04101v1 · doi: 10.48550/arxiv.1607.04101 · pith_short_12: HRWOO6DD3KHN · pith_short_16: HRWOO6DD3KHNFTOS · pith_short_8: HRWOO6DD

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/HRWOO6DD3KHNFTOSOITBOMY4F2 \
  | 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: 3c6ce77863da8ed2cdd2722617331c2eaa4cad3ac750195b785fc6c3538bcb20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62f4e990bf9d029bcae649ad785edc575a33e99542c320b742b26f2a5631391b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-14T12:03:26Z",
    "title_canon_sha256": "4676e3c4cbca0949e2ceef0071ba76db57d1073916f21b6e32922e2326eec361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04101",
    "kind": "arxiv",
    "version": 1
  }
}