Pith Number

pith:A4VFHHN7

pith:2014:A4VFHHN77LELXMHGCLVSGVDCVS

not attested not anchored not stored refs pending

Fractional elliptic equations, Caccioppoli estimates and regularity

L. A. Caffarelli, P. R. Stinga

arxiv:1409.7721 v3 · 2014-09-26 · math.AP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4VFHHN77LELXMHGCLVSGVDCVS}

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	2026-05-18T00:36:41.755594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

072a539dbffac8bbb0e612eb235462acbaeb581481e421cd632cc3abcded0ad1

Aliases

arxiv: 1409.7721 · arxiv_version: 1409.7721v3 · doi: 10.48550/arxiv.1409.7721 · pith_short_12: A4VFHHN77LEL · pith_short_16: A4VFHHN77LELXMHG · pith_short_8: A4VFHHN7

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/A4VFHHN77LELXMHGCLVSGVDCVS \
  | 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: 072a539dbffac8bbb0e612eb235462acbaeb581481e421cd632cc3abcded0ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c607fbe0dc550839e9065620dd76afb04331b14a81ccb12f082cb1ec0e128977",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-26T20:44:41Z",
    "title_canon_sha256": "84c76a8a25ce556559ace3ab8eb4f3f7faf0677ed634e610e7a94538625d3083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7721",
    "kind": "arxiv",
    "version": 3
  }
}