Pith Number

pith:J3EBWSTE

pith:2019:J3EBWSTEEXIAJXHT2TFY6NXOMP

not attested not anchored not stored refs pending

Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles

D. Buoso, P. Freitas

arxiv:1908.06483 v1 · 2019-08-18 · 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{J3EBWSTEEXIAJXHT2TFY6NXOMP}

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	2026-07-04T23:58:16.134250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ec81b4a6425d004dcf3d4cb8f36ee63f234163e07ca21a446dfefdf2e599ac6

Aliases

arxiv: 1908.06483 · arxiv_version: 1908.06483v1 · doi: 10.48550/arxiv.1908.06483 · pith_short_12: J3EBWSTEEXIA · pith_short_16: J3EBWSTEEXIAJXHT · pith_short_8: J3EBWSTE

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/J3EBWSTEEXIAJXHT2TFY6NXOMP \
  | 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: 4ec81b4a6425d004dcf3d4cb8f36ee63f234163e07ca21a446dfefdf2e599ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab0d47a0eb7eae6e2402d699c16b3f32ca074b4491c8b7259124429e2b030241",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-08-18T17:13:13Z",
    "title_canon_sha256": "8d93db4f2e86c5604a307ad74f96742af1078be36b01f4d35e94ac4a75f76dc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06483",
    "kind": "arxiv",
    "version": 1
  }
}