Pith Number

pith:AFRVM37F

pith:2018:AFRVM37FTWWEFNSK2L447D7LMS

not attested not anchored not stored refs pending

Extremals For Fractional Order Hardy-Sobolev-Maz'ya Inequality

Arka Mallick

arxiv:1802.05496 v2 · 2018-02-15 · math.AP · 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{AFRVM37FTWWEFNSK2L447D7LMS}

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	2026-05-18T00:18:51.911094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0163566fe59dac42b64ad2f9cf8feb64988c1d68aff8fd1d68bfe090fb823503

Aliases

arxiv: 1802.05496 · arxiv_version: 1802.05496v2 · doi: 10.48550/arxiv.1802.05496 · pith_short_12: AFRVM37FTWWE · pith_short_16: AFRVM37FTWWEFNSK · pith_short_8: AFRVM37F

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/AFRVM37FTWWEFNSK2L447D7LMS \
  | 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: 0163566fe59dac42b64ad2f9cf8feb64988c1d68aff8fd1d68bfe090fb823503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8fdc9ce10ea77b587d7ceaaa2820aae0e361edf29c639070718464eb3059f4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-15T11:58:05Z",
    "title_canon_sha256": "b58cd4118d24e30f1a3f91e1bf3ffffaa249afe579afa0b2581d3d13e553e10e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05496",
    "kind": "arxiv",
    "version": 2
  }
}