Pith Number

pith:EN5VO7TO

pith:2015:EN5VO7TOBILSVPYRF3BR5XZUGC

not attested not anchored not stored refs pending

Convergence Rates of Neumann problems for Stokes Systems

Shu Gu

arxiv:1512.08285 v2 · 2015-12-27 · 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{EN5VO7TOBILSVPYRF3BR5XZUGC}

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	2026-05-18T00:34:16.033589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

237b577e6e0a172abf112ec31edf3430afbd6ca92b294db0c396f5df0eca711f

Aliases

arxiv: 1512.08285 · arxiv_version: 1512.08285v2 · doi: 10.48550/arxiv.1512.08285 · pith_short_12: EN5VO7TOBILS · pith_short_16: EN5VO7TOBILSVPYR · pith_short_8: EN5VO7TO

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/EN5VO7TOBILSVPYRF3BR5XZUGC \
  | 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: 237b577e6e0a172abf112ec31edf3430afbd6ca92b294db0c396f5df0eca711f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4377029c8da85e3ea1098c0658bb4a17f894c1c2eca7fe5ea4784bfcc5cd1921",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-27T22:19:02Z",
    "title_canon_sha256": "0899af83ef573e640522d526e3924fa30cab833183cd64481dca11fb7e95a81e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08285",
    "kind": "arxiv",
    "version": 2
  }
}