Pith Number

pith:GTJVNYJB

pith:2022:GTJVNYJB5P3MHIWRV6OKQXPV67

not attested not anchored not stored refs pending

Characterizations of Adjoint Sobolev Embedding Operators with Applications in Inverse Problems

Ekaterina Sherina, Ronny Ramlau, Simon Hubmer

arxiv:2202.05101 v4 · 2022-02-10 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTJVNYJB5P3MHIWRV6OKQXPV67}

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	2026-07-05T06:24:23.206263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d356e121ebf6c3a2d1af9ca85df5f7d7b997e826604aa7967bf2bf3f720dc6

Aliases

arxiv: 2202.05101 · arxiv_version: 2202.05101v4 · doi: 10.48550/arxiv.2202.05101 · pith_short_12: GTJVNYJB5P3M · pith_short_16: GTJVNYJB5P3MHIWR · pith_short_8: GTJVNYJB

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/GTJVNYJB5P3MHIWRV6OKQXPV67 \
  | 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: 34d356e121ebf6c3a2d1af9ca85df5f7d7b997e826604aa7967bf2bf3f720dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c332948caadeb4a2063c043ed013669fa0e6875eab22cae7af1c66bc221f2f2",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-02-10T15:39:09Z",
    "title_canon_sha256": "655e5e7d7307cebf292b71200ccc12580d448c37004186022167edf707a55e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.05101",
    "kind": "arxiv",
    "version": 4
  }
}