Pith Number

pith:XQNR55HU

pith:2012:XQNR55HU5OCN6QR2SUKANUNYPA

not attested not anchored not stored refs pending

Some $L_{p}$-estimates for elliptic and parabolic operators with measurable coefficients

N. V. Krylov

arxiv:1201.4573 v1 · 2012-01-22 · 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{XQNR55HU5OCN6QR2SUKANUNYPA}

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	2026-05-18T04:04:05.688810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1b1ef4f4eb84df423a951406d1b87820e2dec1dcbff100a1634ae0eacbf864

Aliases

arxiv: 1201.4573 · arxiv_version: 1201.4573v1 · doi: 10.48550/arxiv.1201.4573 · pith_short_12: XQNR55HU5OCN · pith_short_16: XQNR55HU5OCN6QR2 · pith_short_8: XQNR55HU

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/XQNR55HU5OCN6QR2SUKANUNYPA \
  | 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: bc1b1ef4f4eb84df423a951406d1b87820e2dec1dcbff100a1634ae0eacbf864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba466b8ca37177d176ba27b2fd8863123e4e27d386090a1e3b8c26c6ee0216ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-22T16:57:23Z",
    "title_canon_sha256": "b1b428ebf3c9b76b592d03e549d737e54d57417b463754c0c3df9cbb2d03ed42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4573",
    "kind": "arxiv",
    "version": 1
  }
}