Pith Number

pith:KOEXNSNE

pith:2014:KOEXNSNEUM33KPC2R2IKRRUTTD

not attested not anchored not stored refs pending

Regularity results for weak solutions of elliptic PDEs below the natural exponent

David Cruz-Uribe, Kabe Moen, Scott Rodney

arxiv:1408.6749 v2 · 2014-08-28 · 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{KOEXNSNEUM33KPC2R2IKRRUTTD}

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	2026-05-18T02:37:38.074135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

538976c9a4a337b53c5a8e90a8c69398f5f247f05eadc0344002155f827dabf7

Aliases

arxiv: 1408.6749 · arxiv_version: 1408.6749v2 · doi: 10.48550/arxiv.1408.6749 · pith_short_12: KOEXNSNEUM33 · pith_short_16: KOEXNSNEUM33KPC2 · pith_short_8: KOEXNSNE

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/KOEXNSNEUM33KPC2R2IKRRUTTD \
  | 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: 538976c9a4a337b53c5a8e90a8c69398f5f247f05eadc0344002155f827dabf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4360bef40b249150092983330b0ba5ef6f21cac8c57d688e72348e17c48a20b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-28T15:20:52Z",
    "title_canon_sha256": "9c6fb19799a4fd3d1ec4c054dc6ee7309a912a2b21e5a738e67792e07602068e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6749",
    "kind": "arxiv",
    "version": 2
  }
}