Pith Number

pith:YRFV7IM4

pith:2013:YRFV7IM42O6MTLAZMXVGRJKOYC

not attested not anchored not stored refs pending

Estimates of anisotropic Sobolev spaces with mixed norms for the Stokes system in a half-space

Kyungkeun Kang, Tongkeun Chang

arxiv:1308.1457 v1 · 2013-08-07 · 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{YRFV7IM42O6MTLAZMXVGRJKOYC}

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	2026-05-18T03:16:38.012180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c44b5fa19cd3bcc9ac1965ea68a54ec0a1197735757899ab19b6790660b6b007

Aliases

arxiv: 1308.1457 · arxiv_version: 1308.1457v1 · doi: 10.48550/arxiv.1308.1457 · pith_short_12: YRFV7IM42O6M · pith_short_16: YRFV7IM42O6MTLAZ · pith_short_8: YRFV7IM4

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/YRFV7IM42O6MTLAZMXVGRJKOYC \
  | 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: c44b5fa19cd3bcc9ac1965ea68a54ec0a1197735757899ab19b6790660b6b007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a84a212860fe2a9dd41342600cc7af5ffefd3f778722ab636fbc82419ec47b9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-07T00:59:57Z",
    "title_canon_sha256": "33955a34c6ba76c6f3473986943ab4790b07ef332b13920192befc1e848507ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1457",
    "kind": "arxiv",
    "version": 1
  }
}