Pith Number

pith:VW7NNMAT

pith:2011:VW7NNMATXSD2MBRHSJW4CBARVH

not attested not anchored not stored refs pending

Global Lipschitz regularizing effects for linear and nonlinear parabolic equations

Alessio Porretta, Enrico Priola

arxiv:1111.1748 v2 · 2011-11-07 · 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{VW7NNMATXSD2MBRHSJW4CBARVH}

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	2026-05-18T03:37:41.661569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adbed6b013bc87a60627926dc10411a9fd58110c4baf699ea3933b7d02951baa

Aliases

arxiv: 1111.1748 · arxiv_version: 1111.1748v2 · doi: 10.48550/arxiv.1111.1748 · pith_short_12: VW7NNMATXSD2 · pith_short_16: VW7NNMATXSD2MBRH · pith_short_8: VW7NNMAT

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/VW7NNMATXSD2MBRHSJW4CBARVH \
  | 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: adbed6b013bc87a60627926dc10411a9fd58110c4baf699ea3933b7d02951baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4272e98691792dcd42d092790bb329317fe2fd7f4ec28be3f841a656673e5522",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-07T21:14:26Z",
    "title_canon_sha256": "8148cbdd1c3367860bcb28ad4f5b1ca89ff70d9e27c29ef6c71f023f0e049d3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1748",
    "kind": "arxiv",
    "version": 2
  }
}