Pith Number

pith:GZKFVBT6

pith:2013:GZKFVBT6NZODXRPXNWCWXISAXW

not attested not anchored not stored refs pending

Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains

Alessandra Lunardi, Giuseppe Da Prato

arxiv:1309.6519 v1 · 2013-09-25 · 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{GZKFVBT6NZODXRPXNWCWXISAXW}

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	2026-05-18T03:12:20.770129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36545a867e6e5c3bc5f76d856ba240bda6e23424f02159f6149c97796f97ca5c

Aliases

arxiv: 1309.6519 · arxiv_version: 1309.6519v1 · doi: 10.48550/arxiv.1309.6519 · pith_short_12: GZKFVBT6NZOD · pith_short_16: GZKFVBT6NZODXRPX · pith_short_8: GZKFVBT6

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/GZKFVBT6NZODXRPXNWCWXISAXW \
  | 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: 36545a867e6e5c3bc5f76d856ba240bda6e23424f02159f6149c97796f97ca5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2903af64e1aa4d798f7a3801bd0e329316dd4bc845818b66b7dbd4ff7d8f4665",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-25T14:27:01Z",
    "title_canon_sha256": "b31bd681ede32e49f5b5c61e6bd25a970fdb55edc1ce1aa1e8e9384a1e393a0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6519",
    "kind": "arxiv",
    "version": 1
  }
}