Pith Number

pith:NIKUO2QA

pith:2014:NIKUO2QAOD5IBR7X4ZO7WD2DBW

not attested not anchored not stored refs pending

The Hardy inequality and the heat equation with magnetic field in any dimension

Cristian Cazacu, David Krejcirik

arxiv:1409.6433 v2 · 2014-09-23 · math.SP · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIKUO2QAOD5IBR7X4ZO7WD2DBW}

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	2026-05-18T00:35:55.914126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a15476a0070fa80c7f7e65dfb0f430d84e43581c549bd7aed2ea051e6422d9f

Aliases

arxiv: 1409.6433 · arxiv_version: 1409.6433v2 · doi: 10.48550/arxiv.1409.6433 · pith_short_12: NIKUO2QAOD5I · pith_short_16: NIKUO2QAOD5IBR7X · pith_short_8: NIKUO2QA

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/NIKUO2QAOD5IBR7X4ZO7WD2DBW \
  | 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: 6a15476a0070fa80c7f7e65dfb0f430d84e43581c549bd7aed2ea051e6422d9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0281001ced34735879dc4d5709d3f49056be73bbd0f7469c7ba767c4895ff2fe",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-09-23T07:50:32Z",
    "title_canon_sha256": "f057ed07786cd18f0cecc19e2ff9cf4e72568a09961017595149a85b66047b34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6433",
    "kind": "arxiv",
    "version": 2
  }
}