Pith Number

pith:5KR3OJVR

pith:2020:5KR3OJVR6GPYKYIDQR5CAY7N56

not attested not anchored not stored refs pending

Recent progress in the $L_p$ theory for elliptic and parabolic equations with discontinuous coefficients

Hongjie Dong

arxiv:2006.03966 v1 · 2020-06-06 · 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{5KR3OJVR6GPYKYIDQR5CAY7N56}

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.

Cited by

2 papers in Pith

An optimal local theory for reaction-diffusion equations driven by non-trace-class noise

Existence, uniqueness, and regularity of solutions to nonlinear and non-smooth parabolic obstacle problems

Receipt and verification

First computed	2026-07-05T01:08:34.583960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaa3b726b1f19f856103847a2063edef883fc85c012a249210e248392964764b

Aliases

arxiv: 2006.03966 · arxiv_version: 2006.03966v1 · doi: 10.48550/arxiv.2006.03966 · pith_short_12: 5KR3OJVR6GPY · pith_short_16: 5KR3OJVR6GPYKYID · pith_short_8: 5KR3OJVR

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/5KR3OJVR6GPYKYIDQR5CAY7N56 \
  | 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: eaa3b726b1f19f856103847a2063edef883fc85c012a249210e248392964764b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ccb5357d7d77c19931e8cdb0242162b246e5d7d0223f34a709fb307e0ea5dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-06-06T20:36:27Z",
    "title_canon_sha256": "877905e16680a91e94eb8a2d654f501f6da72196c113e7b8ce6ac2b4e7ce1a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.03966",
    "kind": "arxiv",
    "version": 1
  }
}