Pith Number

pith:GUSZFPHH

pith:2018:GUSZFPHHOOGNULBFASMSHTV5PJ

not attested not anchored not stored refs pending

A maximal function approach to two-measure Poincar\'e inequalities

Antti V. V\"ah\"akangas, Juha Kinnunen, Juha Lehrb\"ack, Riikka Korte

arxiv:1801.06978 v1 · 2018-01-22 · math.CA · 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{GUSZFPHHOOGNULBFASMSHTV5PJ}

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	2026-05-18T00:25:22.600101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

352592bce7738cda2c25049923cebd7a5a60e46aaf799f05667a8f18247ccd93

Aliases

arxiv: 1801.06978 · arxiv_version: 1801.06978v1 · doi: 10.48550/arxiv.1801.06978 · pith_short_12: GUSZFPHHOOGN · pith_short_16: GUSZFPHHOOGNULBF · pith_short_8: GUSZFPHH

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/GUSZFPHHOOGNULBFASMSHTV5PJ \
  | 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: 352592bce7738cda2c25049923cebd7a5a60e46aaf799f05667a8f18247ccd93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427daddf7e1f2853ee883f0f9be0a194efea273ce9972bf942eeb042abfd902b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-22T07:09:32Z",
    "title_canon_sha256": "fbc060742334863b6cc45456b0b5cb3f7af2e54bc40108209a9efadeff8d8dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06978",
    "kind": "arxiv",
    "version": 1
  }
}