Pith Number

pith:HJEQVGKG

pith:2013:HJEQVGKGQXV23XBOUTNONIOEHS

not attested not anchored not stored refs pending

Kato's inequality when $\Delta u$ is a measure

Augusto C. Ponce, Ha\"im Brezis

arxiv:1312.6498 v1 · 2013-12-23 · 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{HJEQVGKGQXV23XBOUTNONIOEHS}

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	2026-05-18T03:03:58.126467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a490a994685ebaddc2ea4dae6a1c43c9fe36c161496d8c495ebf5ea34bcb470

Aliases

arxiv: 1312.6498 · arxiv_version: 1312.6498v1 · doi: 10.48550/arxiv.1312.6498 · pith_short_12: HJEQVGKGQXV2 · pith_short_16: HJEQVGKGQXV23XBO · pith_short_8: HJEQVGKG

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/HJEQVGKGQXV23XBOUTNONIOEHS \
  | 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: 3a490a994685ebaddc2ea4dae6a1c43c9fe36c161496d8c495ebf5ea34bcb470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7343d7e4d9053a2c367d24a8641b87650ef1babda0beaded12db99600562c88f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-23T09:48:50Z",
    "title_canon_sha256": "ccbffb2d72e1021f356428e453afb6661fa83b47363315e3a891343d508dc5d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6498",
    "kind": "arxiv",
    "version": 1
  }
}