Pith Number

pith:NDYFFMK6

pith:2018:NDYFFMK6PSBGCRGLXEG4RUHY2F

not attested not anchored not stored refs pending

Quasilinear equations with natural growth in the gradients in spaces of Sobolev multipliers

Karthik Adimurthi, Nguyen Cong Phuc

arxiv:1804.09611 v1 · 2018-04-25 · 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{NDYFFMK6PSBGCRGLXEG4RUHY2F}

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	2026-05-18T00:17:31.254570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f052b15e7c826144cbb90dc8d0f8d177f9e8ef0b136b6989fcc655e34bfcf5

Aliases

arxiv: 1804.09611 · arxiv_version: 1804.09611v1 · doi: 10.48550/arxiv.1804.09611 · pith_short_12: NDYFFMK6PSBG · pith_short_16: NDYFFMK6PSBGCRGL · pith_short_8: NDYFFMK6

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/NDYFFMK6PSBGCRGLXEG4RUHY2F \
  | 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: 68f052b15e7c826144cbb90dc8d0f8d177f9e8ef0b136b6989fcc655e34bfcf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "942f37431e47f8bfa0415a0b44d51e62ebb9084f00b165bba56184b8c948ca3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-25T15:03:28Z",
    "title_canon_sha256": "0f8ea2bcbacbde72b2096c1ae4a7d4e6f0cce385ac4d8936cf3f1c078915aabe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09611",
    "kind": "arxiv",
    "version": 1
  }
}