Pith Number

pith:NGI67XUJ

pith:2012:NGI67XUJLQP5XXBEYDAIA7KM4A

not attested not anchored not stored refs pending

On $C^{1+\alpha}$ regularity of solutions of Isaacs parabolic equations with VMO coefficients

N. V. Krylov

arxiv:1211.4882 v1 · 2012-11-20 · 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{NGI67XUJLQP5XXBEYDAIA7KM4A}

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	2026-05-18T03:40:15.597101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6991efde895c1fdbdc24c0c0807d4ce01200704d60559b51539de614c9900b9b

Aliases

arxiv: 1211.4882 · arxiv_version: 1211.4882v1 · doi: 10.48550/arxiv.1211.4882 · pith_short_12: NGI67XUJLQP5 · pith_short_16: NGI67XUJLQP5XXBE · pith_short_8: NGI67XUJ

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/NGI67XUJLQP5XXBEYDAIA7KM4A \
  | 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: 6991efde895c1fdbdc24c0c0807d4ce01200704d60559b51539de614c9900b9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a7812244cabbbc7918ba02a0fb774746f86b9f0a5c0b5b2833dc8236e5874ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-20T21:35:06Z",
    "title_canon_sha256": "f121f16dfc8252a5044eb4e4dc293bec42551e3d91262537b2a2d559bc780b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4882",
    "kind": "arxiv",
    "version": 1
  }
}