Pith Number

pith:S4WMGLGV

pith:2016:S4WMGLGVF4QBB35QFR7PLI3B3A

not attested not anchored not stored refs pending

Weighted-$W^{1,p}$ estimates for weak solutions of degenerate and singular elliptic equations

Dat Cao, Tadele Mengesha, Tuoc Phan

arxiv:1612.05583 v1 · 2016-12-16 · 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{S4WMGLGVF4QBB35QFR7PLI3B3A}

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	2026-05-18T00:54:51.487562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

972cc32cd52f2010efb02c7ef5a361d80f9c80aff2dd8aca88ce892f686807eb

Aliases

arxiv: 1612.05583 · arxiv_version: 1612.05583v1 · doi: 10.48550/arxiv.1612.05583 · pith_short_12: S4WMGLGVF4QB · pith_short_16: S4WMGLGVF4QBB35Q · pith_short_8: S4WMGLGV

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/S4WMGLGVF4QBB35QFR7PLI3B3A \
  | 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: 972cc32cd52f2010efb02c7ef5a361d80f9c80aff2dd8aca88ce892f686807eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c9c78271ae792841fd5d48d599f0f8161a7507615a80f42fe0923b25e16c3e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-16T18:34:26Z",
    "title_canon_sha256": "dc0163ce8005f4a263332d949e84917aa0133f824e459d08fb41e30bb3e5ffe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05583",
    "kind": "arxiv",
    "version": 1
  }
}