Pith Number

pith:XXWUOMKE

pith:2014:XXWUOMKEIG4XVFKQBW654P7E43

not attested not anchored not stored refs pending

Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations

Karthik Adimurthi, Nguyen Cong Phuc

arxiv:1412.4833 v1 · 2014-12-15 · 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{XXWUOMKEIG4XVFKQBW654P7E43}

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	2026-05-18T02:31:10.371701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bded47314441b97a95500dbdde3fe4e6c5f11be103be4dcc9759234dab761e79

Aliases

arxiv: 1412.4833 · arxiv_version: 1412.4833v1 · doi: 10.48550/arxiv.1412.4833 · pith_short_12: XXWUOMKEIG4X · pith_short_16: XXWUOMKEIG4XVFKQ · pith_short_8: XXWUOMKE

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/XXWUOMKEIG4XVFKQBW654P7E43 \
  | 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: bded47314441b97a95500dbdde3fe4e6c5f11be103be4dcc9759234dab761e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00ebf68c433cba61f1492c14fcef3b820a64a2ee821c90ef8827506eaf8276b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-15T23:23:12Z",
    "title_canon_sha256": "16e693850f556b01ed411aaa62d5e067cb03c2986b5bdae2a2ea3969683cb571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4833",
    "kind": "arxiv",
    "version": 1
  }
}