Pith Number

pith:OHJROVOL

pith:2021:OHJROVOLU5DNXFRHN4OK44V7FK

not attested not anchored not stored refs pending

Liouville theorem on a half-space for biharmonic problem with Dirichlet boundary condition

Abdelbaki Selmi, Cherif Zaid, Foued Mtiri

arxiv:2107.04995 v1 · 2021-07-11 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHJROVOLU5DNXFRHN4OK44V7FK}

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	2026-07-05T02:56:45.157200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71d31755cba746db96276f1cae72bf2aafcbac0edc7bd33b20e81697a886cd98

Aliases

arxiv: 2107.04995 · arxiv_version: 2107.04995v1 · doi: 10.48550/arxiv.2107.04995 · pith_short_12: OHJROVOLU5DN · pith_short_16: OHJROVOLU5DNXFRH · pith_short_8: OHJROVOL

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/OHJROVOLU5DNXFRHN4OK44V7FK \
  | 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: 71d31755cba746db96276f1cae72bf2aafcbac0edc7bd33b20e81697a886cd98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b02efb58cc6da0e19bbfd8b629ccad0888ec65a5d1d1f971006b6ff9fe1c1bd",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-07-11T08:55:15Z",
    "title_canon_sha256": "c0e496120958d61c0b4b43f6932e748acf1225b49ff1b22fb413b42a703eaa41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04995",
    "kind": "arxiv",
    "version": 1
  }
}