Pith Number

pith:NDNZLUZN

pith:2022:NDNZLUZN5IRHHKSXSLZLNXBCCY

not attested not anchored not stored refs pending

Complexity Blowup for Solutions of the Laplace and the Diffusion Equation

Aras Bacho, Gitta Kutyniok, Holger Boche

arxiv:2212.00693 v4 · 2022-12-01 · cs.CC · 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{NDNZLUZN5IRHHKSXSLZLNXBCCY}

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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.

Cited by

1 paper in Pith

Second-Order Parameterizations for the Complexity Theory of Integrable Functions

Receipt and verification

First computed	2026-07-05T06:49:40.833294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68db95d32dea2273aa5792f2b6dc22163f932498eb7c1c9b82b66b7276334199

Aliases

arxiv: 2212.00693 · arxiv_version: 2212.00693v4 · doi: 10.48550/arxiv.2212.00693 · pith_short_12: NDNZLUZN5IRH · pith_short_16: NDNZLUZN5IRHHKSX · pith_short_8: NDNZLUZN

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/NDNZLUZN5IRHHKSXSLZLNXBCCY \
  | 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: 68db95d32dea2273aa5792f2b6dc22163f932498eb7c1c9b82b66b7276334199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5107e5dfa343f464ff96df7e19b6715aee0661dbb2afbfae8d601328a0bda73",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2022-12-01T17:55:46Z",
    "title_canon_sha256": "695e27ccd963a49377e3bf1945f41adfc4eb3b01214fc8056c7bdd4e4af50328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.00693",
    "kind": "arxiv",
    "version": 4
  }
}