Pith Number

pith:KKAGO6QS

pith:2013:KKAGO6QSZQ7M75MC22KPSQFPCL

not attested not anchored not stored refs pending

On the dimension dependence of some weighted inequalities

Alberto Criado, Fernando Soria

arxiv:1312.4761 v1 · 2013-12-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKAGO6QSZQ7M75MC22KPSQFPCL}

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	2026-05-18T03:04:23.189713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5280677a12cc3ecff582d694f940af12d0b35a7d9e100cd89401f7118979bc64

Aliases

arxiv: 1312.4761 · arxiv_version: 1312.4761v1 · doi: 10.48550/arxiv.1312.4761 · pith_short_12: KKAGO6QSZQ7M · pith_short_16: KKAGO6QSZQ7M75MC · pith_short_8: KKAGO6QS

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/KKAGO6QSZQ7M75MC22KPSQFPCL \
  | 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: 5280677a12cc3ecff582d694f940af12d0b35a7d9e100cd89401f7118979bc64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7569c65e675db675acd2ce1072b4c962a37c3539fdc34df307e0b62119a66bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-17T13:03:20Z",
    "title_canon_sha256": "0f27e25a20e71b2e301b2537516c409c6b6340015af260d81a24f6d026f91f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4761",
    "kind": "arxiv",
    "version": 1
  }
}