Pith Number

pith:RKD5L7WH

pith:2018:RKD5L7WH2MOZ7VACMZQD5AREFN

not attested not anchored not stored refs pending

Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications

Carlos N. Rautenberg, Harbir Antil

arxiv:1803.10350 v1 · 2018-03-27 · math.OC · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKD5L7WH2MOZ7VACMZQD5AREFN}

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	2026-05-18T00:19:55.695536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a87d5fec7d31d9fd40266603e82242b710f949e1335cd2203db1307c3343130

Aliases

arxiv: 1803.10350 · arxiv_version: 1803.10350v1 · doi: 10.48550/arxiv.1803.10350 · pith_short_12: RKD5L7WH2MOZ · pith_short_16: RKD5L7WH2MOZ7VAC · pith_short_8: RKD5L7WH

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/RKD5L7WH2MOZ7VACMZQD5AREFN \
  | 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: 8a87d5fec7d31d9fd40266603e82242b710f949e1335cd2203db1307c3343130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d05726192a92cd6c1d99413a24a6b13a6d6ee3aaaffd0230ea6a612b46971b",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-27T22:39:35Z",
    "title_canon_sha256": "a28648c4ed13db8355c8ff74c63e5e3aa504b20561c9924360aac5ae0e18f29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10350",
    "kind": "arxiv",
    "version": 1
  }
}