Pith Number

pith:F5NBR6PF

pith:2018:F5NBR6PFYKAEB6TOQE7Z7SVRUS

not attested not anchored not stored refs pending

Gradient estimates for Stokes systems with Dini mean oscillation coefficients

Hongjie Dong, Jongkeun Choi

arxiv:1803.05560 v2 · 2018-03-15 · 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{F5NBR6PFYKAEB6TOQE7Z7SVRUS}

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	2026-05-18T00:05:05.120974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5a18f9e5c28040fa6e813f9fcab1a4b77a6577cbe4375bd55b4deefdc2a94a

Aliases

arxiv: 1803.05560 · arxiv_version: 1803.05560v2 · doi: 10.48550/arxiv.1803.05560 · pith_short_12: F5NBR6PFYKAE · pith_short_16: F5NBR6PFYKAEB6TO · pith_short_8: F5NBR6PF

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/F5NBR6PFYKAEB6TOQE7Z7SVRUS \
  | 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: 2f5a18f9e5c28040fa6e813f9fcab1a4b77a6577cbe4375bd55b4deefdc2a94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c652fb21c68e75875bfacebd54c8b247233eaf06400dcca78ba6ae401ced931",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-15T01:09:47Z",
    "title_canon_sha256": "373ac2ae7c0c6f5a39741842a16f56ac4d10710364af7151a05f68923b142c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05560",
    "kind": "arxiv",
    "version": 2
  }
}