Pith Number

pith:UGP235PV

pith:2011:UGP235PVAKKVOILWNHZP5IDAYY

not attested not anchored not stored refs pending

Well-posedness and spectral properties of heat and wave equations with non-local conditions

Delio Mugnolo, Serge Nicaise

arxiv:1112.0415 v4 · 2011-12-02 · math.AP · math-ph · math.FA · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGP235PVAKKVOILWNHZP5IDAYY}

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	2026-05-17T23:57:54.552563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19fadf5f5029557217669f2fea060c63e8399bd1c5a29d49c1ad17be34e320a

Aliases

arxiv: 1112.0415 · arxiv_version: 1112.0415v4 · doi: 10.48550/arxiv.1112.0415 · pith_short_12: UGP235PVAKKV · pith_short_16: UGP235PVAKKVOILW · pith_short_8: UGP235PV

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/UGP235PVAKKVOILWNHZP5IDAYY \
  | 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: a19fadf5f5029557217669f2fea060c63e8399bd1c5a29d49c1ad17be34e320a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1a58ba383e486b47a6a3063b317be3281416347b414835032f4fa23cfcd3310",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-02T10:09:42Z",
    "title_canon_sha256": "fa8e7a314c76c0de85434d2655519a2642b94c6c04345a082e1cdc0670b15b3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0415",
    "kind": "arxiv",
    "version": 4
  }
}