Pith Number

pith:7LTRLCVD

pith:2013:7LTRLCVDT5F74SLHZVBBVUPWEF

not attested not anchored not stored refs pending

Weighted norm inequalities for convolution and Riesz potential

Erlan Nursultanov, Sergey Tikhonov

arxiv:1307.0206 v1 · 2013-06-30 · 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{7LTRLCVDT5F74SLHZVBBVUPWEF}

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	2026-05-18T03:19:33.963357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fae7158aa39f4bfe4967cd421ad1f6216496da00e13f54e8fd1aa5812b54223d

Aliases

arxiv: 1307.0206 · arxiv_version: 1307.0206v1 · doi: 10.48550/arxiv.1307.0206 · pith_short_12: 7LTRLCVDT5F7 · pith_short_16: 7LTRLCVDT5F74SLH · pith_short_8: 7LTRLCVD

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/7LTRLCVDT5F74SLHZVBBVUPWEF \
  | 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: fae7158aa39f4bfe4967cd421ad1f6216496da00e13f54e8fd1aa5812b54223d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cd5157db3b6c18477362a79fbb6907a1d403aff6e6b65037c4d228bcbfb5ee5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-30T14:09:26Z",
    "title_canon_sha256": "858bfa7e50dff9067e87cc47abdfa4db69a903985e49aa20f88ef613e5ba27d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0206",
    "kind": "arxiv",
    "version": 1
  }
}