Pith Number

pith:LPISBRAI

pith:2014:LPISBRAIBYTYL7ZL4E6TGUNQJB

not attested not anchored not stored refs pending

Higher gradients estimates in Morrey spaces for weak solutions to linear ultraparabolic equations

Pengcheng Niu, Yan Dong

arxiv:1404.6428 v1 · 2014-04-25 · 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{LPISBRAIBYTYL7ZL4E6TGUNQJB}

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	2026-05-18T02:53:16.493972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd120c4080e2785ff2be13d3351b04855e1a5905114c33851d5fc7a6b39d5a2

Aliases

arxiv: 1404.6428 · arxiv_version: 1404.6428v1 · doi: 10.48550/arxiv.1404.6428 · pith_short_12: LPISBRAIBYTY · pith_short_16: LPISBRAIBYTYL7ZL · pith_short_8: LPISBRAI

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/LPISBRAIBYTYL7ZL4E6TGUNQJB \
  | 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: 5bd120c4080e2785ff2be13d3351b04855e1a5905114c33851d5fc7a6b39d5a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "165421c5fd9737873399ba26c1145ce22c5cc784a8d664ae9ac30a2c50e4fe7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-25T14:25:08Z",
    "title_canon_sha256": "a3de52fd528face862fb87e116d412e71dc16dd8995d5cdf984c9b13f6298d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6428",
    "kind": "arxiv",
    "version": 1
  }
}