Pith Number

pith:6G4REUFH

pith:2020:6G4REUFH4HXRGFSIABOEE5XIYJ

not attested not anchored not stored refs pending

Raising the regularity of generalized Abel equations in fractional Sobolev spaces with homogeneous boundary conditions

Yulong Li

arxiv:2006.08353 v1 · 2020-06-12 · 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{6G4REUFH4HXRGFSIABOEE5XIYJ}

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	2026-07-05T03:54:53.613073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b91250a7e1ef131648005c4276e8c2702dc6d5cb21441243bb5d72c4e082bc

Aliases

arxiv: 2006.08353 · arxiv_version: 2006.08353v1 · doi: 10.48550/arxiv.2006.08353 · pith_short_12: 6G4REUFH4HXR · pith_short_16: 6G4REUFH4HXRGFSI · pith_short_8: 6G4REUFH

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/6G4REUFH4HXRGFSIABOEE5XIYJ \
  | 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: f1b91250a7e1ef131648005c4276e8c2702dc6d5cb21441243bb5d72c4e082bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1273610629dbcb42194bfcf22649c600e6e7f7c1c14781ff7a1d76975888fec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-06-12T05:18:48Z",
    "title_canon_sha256": "45203a0da7305de2c3d727bf69a30dfeaf18e3304a2ea446e5ced0ae8718159b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.08353",
    "kind": "arxiv",
    "version": 1
  }
}