Pith Number

pith:PB4PANCI

pith:2017:PB4PANCI3M7MOAKMHJTQCXSMPC

not attested not anchored not stored refs pending

Isoperimetric inequalities for some integral operators arising in potential theory

Durvudkhan Suragan, Michael Ruzhansky

arxiv:1712.07497 v1 · 2017-12-20 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PB4PANCI3M7MOAKMHJTQCXSMPC}

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	2026-05-18T00:27:34.371432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7878f03448db3ec7014c3a67015e4c78a98dd0b06a2594072434fe3c5c5ea0be

Aliases

arxiv: 1712.07497 · arxiv_version: 1712.07497v1 · doi: 10.48550/arxiv.1712.07497 · pith_short_12: PB4PANCI3M7M · pith_short_16: PB4PANCI3M7MOAKM · pith_short_8: PB4PANCI

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/PB4PANCI3M7MOAKMHJTQCXSMPC \
  | 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: 7878f03448db3ec7014c3a67015e4c78a98dd0b06a2594072434fe3c5c5ea0be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a407e839c5de57e72819615cd431d30dae9a7d099e5cc9b2784e73886aed030",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-20T14:34:39Z",
    "title_canon_sha256": "78d6f66e98b72213fe163e3952295de5ddf92012df407f93a1460c3540e7136c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07497",
    "kind": "arxiv",
    "version": 1
  }
}