Pith Number

pith:F6HQC3NV

pith:2013:F6HQC3NV6UMKXYD3U2M4LFIEZ7

not attested not anchored not stored refs pending

A Magnetic Contribution to the Hardy Inequality

Fabian Portmann, Tomas Ekholm

arxiv:1301.0709 v1 · 2013-01-04 · math.SP · math-ph · 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{F6HQC3NV6UMKXYD3U2M4LFIEZ7}

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	2026-05-18T01:52:21.600720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f8f016db5f518abe07ba699c59504cfe263c36e0d00bb91a44ecb3c1e620c77

Aliases

arxiv: 1301.0709 · arxiv_version: 1301.0709v1 · doi: 10.48550/arxiv.1301.0709 · pith_short_12: F6HQC3NV6UMK · pith_short_16: F6HQC3NV6UMKXYD3 · pith_short_8: F6HQC3NV

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/F6HQC3NV6UMKXYD3U2M4LFIEZ7 \
  | 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: 2f8f016db5f518abe07ba699c59504cfe263c36e0d00bb91a44ecb3c1e620c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398782e3b9231a1902b8e957015b1235b23b27e7efc9b956a5900a4d512abe88",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-01-04T11:12:54Z",
    "title_canon_sha256": "6a482138fb336972c9458a27f7768aa207f5a037a64a5352ebe5562193ad65dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0709",
    "kind": "arxiv",
    "version": 1
  }
}