Pith Number

pith:2HS4HF3E

pith:2018:2HS4HF3EZ7GEZ5BSKPD5AO4WSA

not attested not anchored not stored refs pending

Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces

Hongjie Dong, N. V. Krylov

arxiv:1806.00077 v1 · 2018-05-31 · 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{2HS4HF3EZ7GEZ5BSKPD5AO4WSA}

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	2026-05-18T00:14:28.002600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e5c39764cfcc4cf43253c7d03b9690352dfa4accd3a0019f1fc041f6ecb1fd

Aliases

arxiv: 1806.00077 · arxiv_version: 1806.00077v1 · doi: 10.48550/arxiv.1806.00077 · pith_short_12: 2HS4HF3EZ7GE · pith_short_16: 2HS4HF3EZ7GEZ5BS · pith_short_8: 2HS4HF3E

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/2HS4HF3EZ7GEZ5BSKPD5AO4WSA \
  | 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: d1e5c39764cfcc4cf43253c7d03b9690352dfa4accd3a0019f1fc041f6ecb1fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93fc4364ed62dc9977bb1e17b8de56fac97ac846aae49a84e5959e23d4eaa5b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-31T20:16:40Z",
    "title_canon_sha256": "cfd30dc92b0d61372407181d953a332b9de69197f19baef353b5e875fea09e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00077",
    "kind": "arxiv",
    "version": 1
  }
}