Pith Number

pith:2ZLY4UUQ

pith:2012:2ZLY4UUQKH3GX3N5GKWHNJ4H6H

not attested not anchored not stored refs pending

On the existence of smooth solutions for fully nonlinear elliptic equations with measurable "coefficients" without convexity assumptions

N. V. Krylov

arxiv:1203.1298 v2 · 2012-03-06 · 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{2ZLY4UUQKH3GX3N5GKWHNJ4H6H}

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	2026-05-18T03:58:50.749575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6578e529051f66bedbd32ac76a787f1ede3fca40cb1c6e60ed0012b5d210c08

Aliases

arxiv: 1203.1298 · arxiv_version: 1203.1298v2 · doi: 10.48550/arxiv.1203.1298 · pith_short_12: 2ZLY4UUQKH3G · pith_short_16: 2ZLY4UUQKH3GX3N5 · pith_short_8: 2ZLY4UUQ

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/2ZLY4UUQKH3GX3N5GKWHNJ4H6H \
  | 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: d6578e529051f66bedbd32ac76a787f1ede3fca40cb1c6e60ed0012b5d210c08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c80b74ac71759815fdbbd26aeeec10aee8b5b84d7bc0dec4017e136753a288d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-06T19:56:25Z",
    "title_canon_sha256": "effdf75818e0dc8daceec5d8a797518f4d2324505fd0b88bdd24f883aead6f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1298",
    "kind": "arxiv",
    "version": 2
  }
}