Pith Number

pith:ZZW673T4

pith:2013:ZZW673T4V33B7XNHDENBIKX5GY

not attested not anchored not stored refs pending

The method of layer potentials in $L^p$ and endpoint spaces for elliptic operators with $L^\infty$ coefficients

Andrew J. Morris, Marius Mitrea, Steve Hofmann

arxiv:1311.4783 v1 · 2013-11-19 · 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{ZZW673T4V33B7XNHDENBIKX5GY}

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	2026-05-18T00:44:29.335553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce6defee7caef61fdda7191a142afd3623a789f2094db04bcdb7e1404e17ce07

Aliases

arxiv: 1311.4783 · arxiv_version: 1311.4783v1 · doi: 10.48550/arxiv.1311.4783 · pith_short_12: ZZW673T4V33B · pith_short_16: ZZW673T4V33B7XNH · pith_short_8: ZZW673T4

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/ZZW673T4V33B7XNHDENBIKX5GY \
  | 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: ce6defee7caef61fdda7191a142afd3623a789f2094db04bcdb7e1404e17ce07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7cf4413d23da1b11500f6f11085ab806dcf2da7091c7135f35240e05f6e2a58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-19T15:40:55Z",
    "title_canon_sha256": "9feabf14f54310c17a50ec87a9ea26bb3a2e7ae573a1cc454281a2dec6cfe0f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4783",
    "kind": "arxiv",
    "version": 1
  }
}