Pith Number

pith:O2WEASU5

pith:2018:O2WEASU5RWVI24FKMBSQB5ISFE

not attested not anchored not stored refs pending

Rellich-Kondrakov embedding of the Laplacian resolvent on the torus

Louis Omenyi

arxiv:1801.09114 v1 · 2018-01-27 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2WEASU5RWVI24FKMBSQB5ISFE}

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	2026-05-18T00:24:58.560861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ac404a9d8daa8d70aa606500f512293bb59882fe561c473c001a8c342266bb

Aliases

arxiv: 1801.09114 · arxiv_version: 1801.09114v1 · doi: 10.48550/arxiv.1801.09114 · pith_short_12: O2WEASU5RWVI · pith_short_16: O2WEASU5RWVI24FK · pith_short_8: O2WEASU5

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/O2WEASU5RWVI24FKMBSQB5ISFE \
  | 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: 76ac404a9d8daa8d70aa606500f512293bb59882fe561c473c001a8c342266bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c2926d6ca7b9f6e380a4a4d48c3d2c65a1ba6b3e7ec4ba96402327ca5bd9fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-01-27T17:26:54Z",
    "title_canon_sha256": "9bb45b172e83ef975f1f7658330ae3d3f803988c32da5c00a0c9dcb7c4897f50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09114",
    "kind": "arxiv",
    "version": 1
  }
}