Pith Number

pith:3UZGAC6R

pith:2012:3UZGAC6RXHPGZAJANTAOMKWO2G

not attested not anchored not stored refs pending

Sobolev regularity for a class of second order elliptic PDE's in infinite dimension

Alessandra Lunardi, Giuseppe Da Prato

arxiv:1208.0437 v3 · 2012-08-02 · 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{3UZGAC6RXHPGZAJANTAOMKWO2G}

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	2026-05-18T02:50:03.655184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd32600bd1b9de6c81206cc0e62aced181ad96dedd14e7160d93a1af2cfa7dd7

Aliases

arxiv: 1208.0437 · arxiv_version: 1208.0437v3 · doi: 10.48550/arxiv.1208.0437 · pith_short_12: 3UZGAC6RXHPG · pith_short_16: 3UZGAC6RXHPGZAJA · pith_short_8: 3UZGAC6R

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/3UZGAC6RXHPGZAJANTAOMKWO2G \
  | 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: dd32600bd1b9de6c81206cc0e62aced181ad96dedd14e7160d93a1af2cfa7dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "003bc1ee134c918b972f910668f887f8e3fffb4c23ccd8849b1625250743e4a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-02T09:15:56Z",
    "title_canon_sha256": "ce5fc29f3517c8a65bfcc3d8bdea9fb510aaff0dd82a300f276420f27455a520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0437",
    "kind": "arxiv",
    "version": 3
  }
}