Pith Number

pith:HAWG4IEW

pith:2019:HAWG4IEWQBR3L46RJOUMLJQWCB

not attested not anchored not stored refs pending

Hardy inequalities with best constants on Finsler metric measure manifolds

Wei Zhao

arxiv:1906.06647 v2 · 2019-06-16 · 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{HAWG4IEWQBR3L46RJOUMLJQWCB}

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	2026-05-17T23:41:17.114777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

382c6e20968063b5f3d14ba8c5a61610510dc8607e47863914130b23341e3e40

Aliases

arxiv: 1906.06647 · arxiv_version: 1906.06647v2 · doi: 10.48550/arxiv.1906.06647 · pith_short_12: HAWG4IEWQBR3 · pith_short_16: HAWG4IEWQBR3L46R · pith_short_8: HAWG4IEW

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/HAWG4IEWQBR3L46RJOUMLJQWCB \
  | 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: 382c6e20968063b5f3d14ba8c5a61610510dc8607e47863914130b23341e3e40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db3e3fc63abeb17a63f3b1a77d0f0879258c48eb85a82c9cb322952acc622a02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-16T05:09:04Z",
    "title_canon_sha256": "2e64aa2efb4f31c2edd922d7dbf5b71bbc9e3f610959fd48092562dc1fae721d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06647",
    "kind": "arxiv",
    "version": 2
  }
}