Pith Number

pith:SPQOXQOH

pith:2018:SPQOXQOHP7CHWJSM3TVWVAF6BK

not attested not anchored not stored refs pending

Gradient estimates for a class of anisotropic nonlocal operators

Alberto Farina, Enrico Valdinoci

arxiv:1809.08674 v2 · 2018-09-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPQOXQOHP7CHWJSM3TVWVAF6BK}

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	2026-05-18T00:04:39.018508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e0ebc1c77fc47b264cdceb6a80be0a8ac7301dcd34a04323944ac5ab8b6031

Aliases

arxiv: 1809.08674 · arxiv_version: 1809.08674v2 · doi: 10.48550/arxiv.1809.08674 · pith_short_12: SPQOXQOHP7CH · pith_short_16: SPQOXQOHP7CHWJSM · pith_short_8: SPQOXQOH

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/SPQOXQOHP7CHWJSM3TVWVAF6BK \
  | 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: 93e0ebc1c77fc47b264cdceb6a80be0a8ac7301dcd34a04323944ac5ab8b6031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e02798bf067b893658ec9214fd84da4003fb1c1bfec04f0ee3ee6f74316ff3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-23T20:49:59Z",
    "title_canon_sha256": "4b305d47b8a4867657b6bafbc878b89b0913ee84b095af9df411a8aa35d7cb3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08674",
    "kind": "arxiv",
    "version": 2
  }
}