Pith Number

pith:VXZLH5RS

pith:2018:VXZLH5RSE2OK5XVFJNMMOP7CM4

not attested not anchored not stored refs pending

Gradient estimates for Stokes systems in domains

Hongjie Dong, Jongkeun Choi

arxiv:1805.02506 v1 · 2018-05-04 · 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{VXZLH5RSE2OK5XVFJNMMOP7CM4}

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	2026-05-18T00:16:39.762212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf2b3f632269caedea54b58c73fe2673385d3fc8e8070e4a2d25c848d1b40ad

Aliases

arxiv: 1805.02506 · arxiv_version: 1805.02506v1 · doi: 10.48550/arxiv.1805.02506 · pith_short_12: VXZLH5RSE2OK · pith_short_16: VXZLH5RSE2OK5XVF · pith_short_8: VXZLH5RS

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/VXZLH5RSE2OK5XVFJNMMOP7CM4 \
  | 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: adf2b3f632269caedea54b58c73fe2673385d3fc8e8070e4a2d25c848d1b40ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c686210ef1365dfc26b7d15117626d05684e3cf54012b175d17f8dea3f08aee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-04T02:29:38Z",
    "title_canon_sha256": "4977d603088a1c5b6e7a4f9b1e767378c9c48f822e58a00081a739cec95546e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02506",
    "kind": "arxiv",
    "version": 1
  }
}