Pith Number

pith:E67HXDCT

pith:2018:E67HXDCTLZEAIZUHUI3AUWPXN4

not attested not anchored not stored refs pending

Renormalized solutions to parabolic equations in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev's phenomenon

Anna Zatorska-Goldstein, Iwona Chlebicka, Piotr Gwiazda

arxiv:1807.06464 v2 · 2018-07-15 · 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{E67HXDCTLZEAIZUHUI3AUWPXN4}

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	2026-05-17T23:46:30.184671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27be7b8c535e48046687a2360a59f76f07fb77a3a8be66350ce3332067662579

Aliases

arxiv: 1807.06464 · arxiv_version: 1807.06464v2 · doi: 10.48550/arxiv.1807.06464 · pith_short_12: E67HXDCTLZEA · pith_short_16: E67HXDCTLZEAIZUH · pith_short_8: E67HXDCT

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/E67HXDCTLZEAIZUHUI3AUWPXN4 \
  | 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: 27be7b8c535e48046687a2360a59f76f07fb77a3a8be66350ce3332067662579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d14fe646c69530ef1a40593f3e7f8e8522f148fa0ef1dab8bfb9a3de3b572c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-15T19:25:54Z",
    "title_canon_sha256": "da27ae38a2646a71d13740f30f4f43b0b104a94019c58711e66d797ed17b3ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06464",
    "kind": "arxiv",
    "version": 2
  }
}