Pith Number

pith:VQKXZ7AR

pith:2013:VQKXZ7ARKRLTY4SB2AL4ZUC7CY

not attested not anchored not stored refs pending

Korn inequality on irregular domains

Aapo Kauranen, Renjin Jiang

arxiv:1307.1338 v1 · 2013-07-04 · 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{VQKXZ7ARKRLTY4SB2AL4ZUC7CY}

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	2026-05-18T03:19:14.035073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac157cfc1154573c7241d017ccd05f163429c1bd45b8347683774d041544b4cb

Aliases

arxiv: 1307.1338 · arxiv_version: 1307.1338v1 · doi: 10.48550/arxiv.1307.1338 · pith_short_12: VQKXZ7ARKRLT · pith_short_16: VQKXZ7ARKRLTY4SB · pith_short_8: VQKXZ7AR

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/VQKXZ7ARKRLTY4SB2AL4ZUC7CY \
  | 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: ac157cfc1154573c7241d017ccd05f163429c1bd45b8347683774d041544b4cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24598973dbf40380f9739fdbe80a07fdb7860a34fff1ae349e943c3889278ce8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-04T14:11:43Z",
    "title_canon_sha256": "ca13eace451b2a408031c098d6f41e661901b7b9ef6744f328606d77c99bb0e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1338",
    "kind": "arxiv",
    "version": 1
  }
}