Pith Number

pith:IJ4N4ZC5

pith:2012:IJ4N4ZC5O3QSXKFB2M37XHVM2G

not attested not anchored not stored refs pending

Riesz Polarization Inequalities in Higher Dimensions

Edward B. Saff, Tamas Erd\'elyi

arxiv:1206.4729 v2 · 2012-06-20 · math-ph · math.CA · 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{IJ4N4ZC5O3QSXKFB2M37XHVM2G}

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	2026-05-18T03:34:25.421357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4278de645d76e12ba8a1d337fb9eacd1a601c8aa5b70f9b99611ad5ae1eb9399

Aliases

arxiv: 1206.4729 · arxiv_version: 1206.4729v2 · doi: 10.48550/arxiv.1206.4729 · pith_short_12: IJ4N4ZC5O3QS · pith_short_16: IJ4N4ZC5O3QSXKFB · pith_short_8: IJ4N4ZC5

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/IJ4N4ZC5O3QSXKFB2M37XHVM2G \
  | 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: 4278de645d76e12ba8a1d337fb9eacd1a601c8aa5b70f9b99611ad5ae1eb9399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1c0e17b6b95effdfdf8a3f961cb7beaf9511bbc380f1f76f73cff4a0c71bdd7",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-20T21:55:52Z",
    "title_canon_sha256": "adbd84b534286ab39059b064a6e7c814275703ae63eb817e3c853ed900dbd248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4729",
    "kind": "arxiv",
    "version": 2
  }
}