Pith Number

pith:HSBF4X7Z

pith:2012:HSBF4X7ZRMRAB5UL3YE5OW4WK3

not attested not anchored not stored refs pending

Campanato estimates for the generalized Stokes System

Lars Diening, Petr Kaplicky, Sebastian Schwarzacher

arxiv:1211.3893 v1 · 2012-11-16 · 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{HSBF4X7ZRMRAB5UL3YE5OW4WK3}

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	2026-05-18T03:00:59.147597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c825e5ff98b2200f68bde09d75b9656c0fc702302e6e33d4d70a295d7ad8134

Aliases

arxiv: 1211.3893 · arxiv_version: 1211.3893v1 · doi: 10.48550/arxiv.1211.3893 · pith_short_12: HSBF4X7ZRMRA · pith_short_16: HSBF4X7ZRMRAB5UL · pith_short_8: HSBF4X7Z

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/HSBF4X7ZRMRAB5UL3YE5OW4WK3 \
  | 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: 3c825e5ff98b2200f68bde09d75b9656c0fc702302e6e33d4d70a295d7ad8134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0668f03a5112b2566d262d8ace4ef537ed72b1fcac8542db88bd5242678a1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-16T14:07:11Z",
    "title_canon_sha256": "90437735d3500c1feee28f8f024624a64a27729e8c080ddee8e132b9b8e6312f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3893",
    "kind": "arxiv",
    "version": 1
  }
}