Pith Number

pith:G4MBR4LY

pith:2011:G4MBR4LY6IKEOTUVO2ELMYVSJQ

not attested not anchored not stored refs pending

Spectral and oscillation properties for a linear pencil of fourth-order differential operators

A. A. Shkalikov, A. A. Vladimirov, J. Ben Amara

arxiv:1112.2351 v1 · 2011-12-11 · 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{G4MBR4LY6IKEOTUVO2ELMYVSJQ}

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	2026-05-18T04:06:34.708546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

371818f178f214474e957688b662b24c1daff532ec987ea481c29e1ca7ddeca3

Aliases

arxiv: 1112.2351 · arxiv_version: 1112.2351v1 · doi: 10.48550/arxiv.1112.2351 · pith_short_12: G4MBR4LY6IKE · pith_short_16: G4MBR4LY6IKEOTUV · pith_short_8: G4MBR4LY

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/G4MBR4LY6IKEOTUVO2ELMYVSJQ \
  | 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: 371818f178f214474e957688b662b24c1daff532ec987ea481c29e1ca7ddeca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb6f19a36603b0e772849c2575f317c14c933be8295f475b5cf73e97e82a1eca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-12-11T13:07:04Z",
    "title_canon_sha256": "e9aaa90d0e5ad13f6a3887e804bd9bd1627000030c73c5fe4b0e923e7832a608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2351",
    "kind": "arxiv",
    "version": 1
  }
}