Pith Number

pith:Z22E5ETZ

pith:2020:Z22E5ETZNPTSXIDLCVISYDTK5D

not attested not anchored not stored refs pending

Powers Of Generators On Dirichlet Spaces And Applications To Harnack Principles

Fabrice Baudoin, Quanjun Lang, Yannick Sire

arxiv:2010.01036 v2 · 2020-10-02 · 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{Z22E5ETZNPTSXIDLCVISYDTK5D}

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.

Cited by

1 paper in Pith

Self-improvement of fractional Hardy inequalities in metric measure spaces via hyperbolic fillings

Receipt and verification

First computed	2026-07-05T01:42:56.611681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb44e92796be72ba06b15512c0e6ae8ceb2726b4716c9851ae17263fc80f92e

Aliases

arxiv: 2010.01036 · arxiv_version: 2010.01036v2 · doi: 10.48550/arxiv.2010.01036 · pith_short_12: Z22E5ETZNPTS · pith_short_16: Z22E5ETZNPTSXIDL · pith_short_8: Z22E5ETZ

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/Z22E5ETZNPTSXIDLCVISYDTK5D \
  | 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: ceb44e92796be72ba06b15512c0e6ae8ceb2726b4716c9851ae17263fc80f92e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7faa5854161972a84fcc2c29245ebc327c818706b4f09f6b771b250d9a12869",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-10-02T14:54:27Z",
    "title_canon_sha256": "308bf54e8213ea543702822dcebf4894fb000b4487e291c6669c2b206f730362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.01036",
    "kind": "arxiv",
    "version": 2
  }
}