Pith Number

pith:V6F4ZMTU

pith:2019:V6F4ZMTUF66BNSYCACP4SSDY4Y

not attested not anchored not stored refs pending

A borderline case of Calder\'on-Zygmund estimates for non-uniformly elliptic problems

Cristiana De Filippis, Giuseppe Mingione

arxiv:1901.05603 v1 · 2019-01-17 · 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{V6F4ZMTUF66BNSYCACP4SSDY4Y}

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	2026-05-17T23:56:06.668577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af8bccb2742fbc16cb02009fc94878e629a56a9a12e38695fc435bedb40c504c

Aliases

arxiv: 1901.05603 · arxiv_version: 1901.05603v1 · doi: 10.48550/arxiv.1901.05603 · pith_short_12: V6F4ZMTUF66B · pith_short_16: V6F4ZMTUF66BNSYC · pith_short_8: V6F4ZMTU

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/V6F4ZMTUF66BNSYCACP4SSDY4Y \
  | 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: af8bccb2742fbc16cb02009fc94878e629a56a9a12e38695fc435bedb40c504c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e145e83fa1b6cffc58218e0a13256ae6342c0b801b760e322adca99e63950ca6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-17T03:37:11Z",
    "title_canon_sha256": "66d06737289f6a7e3414feccf2d8f209626726109da306dfea52604a8188325f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05603",
    "kind": "arxiv",
    "version": 1
  }
}