Pith Number

pith:7FDP7MHH

pith:2013:7FDP7MHHPSBDF55EU7SKTUE75J

not attested not anchored not stored refs pending

Relativistic Hardy inequalities in magnetic fields

Luca Fanelli, Luis Vega, Nicola Visciglia

arxiv:1309.3746 v1 · 2013-09-15 · 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{7FDP7MHHPSBDF55EU7SKTUE75J}

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	2026-05-18T01:18:28.378096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f946ffb0e77c8232f7a4a7e4a9d09fea6e27d78e298967d01d6ef4f5768422d8

Aliases

arxiv: 1309.3746 · arxiv_version: 1309.3746v1 · doi: 10.48550/arxiv.1309.3746 · pith_short_12: 7FDP7MHHPSBD · pith_short_16: 7FDP7MHHPSBDF55E · pith_short_8: 7FDP7MHH

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/7FDP7MHHPSBDF55EU7SKTUE75J \
  | 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: f946ffb0e77c8232f7a4a7e4a9d09fea6e27d78e298967d01d6ef4f5768422d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd762796db8bc1fa5b842c39f4800aef1252d27718c7f2ce2d0f7dba3f3c3642",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-15T10:44:10Z",
    "title_canon_sha256": "ff82ee5a4076deb6db5f020659be36329c035aa75409ca28a51256b4a0cc50b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3746",
    "kind": "arxiv",
    "version": 1
  }
}