Pith Number

pith:OO34HGVD

pith:2013:OO34HGVD2OBYFQOVPTKV2IMYDG

not attested not anchored not stored refs pending

Bounded imaginary powers of cone differential operators on higher order Mellin-Sobolev spaces and applications to the Cahn-Hilliard equation

Elmar Schrohe, Nikolaos Roidos

arxiv:1311.4702 v2 · 2013-11-19 · 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{OO34HGVD2OBYFQOVPTKV2IMYDG}

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	2026-05-18T02:51:33.821666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b7c39aa3d38382c1d57cd55d2198199ddc63b879e63878b751b55a6087fa85

Aliases

arxiv: 1311.4702 · arxiv_version: 1311.4702v2 · doi: 10.48550/arxiv.1311.4702 · pith_short_12: OO34HGVD2OBY · pith_short_16: OO34HGVD2OBYFQOV · pith_short_8: OO34HGVD

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/OO34HGVD2OBYFQOVPTKV2IMYDG \
  | 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: 73b7c39aa3d38382c1d57cd55d2198199ddc63b879e63878b751b55a6087fa85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbd6f164ebb8c9ea79c77248569bb29b309a759fcdfb1374133cd47a5a6cb24e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-19T11:31:32Z",
    "title_canon_sha256": "b5b21e86c785006e84024590e77697219be623be01cfbaa9d63c67e0bd18270a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4702",
    "kind": "arxiv",
    "version": 2
  }
}