Pith Number

pith:2ID5PK7B

pith:2019:2ID5PK7BF7LXIC4YH27WF34OKK

not attested not anchored not stored refs pending

On the Spectrality and Spectral Expansion of the Non-self-adjoint Mathieu-Hill Operator in All Real Line

O. A. Veliev

arxiv:1906.04912 v2 · 2019-06-10 · 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{2ID5PK7BF7LXIC4YH27WF34OKK}

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	2026-05-17T23:43:25.678598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d207d7abe12fd7740b983ebf62ef8e52b2976e8a20e1892259f320f87006e76f

Aliases

arxiv: 1906.04912 · arxiv_version: 1906.04912v2 · doi: 10.48550/arxiv.1906.04912 · pith_short_12: 2ID5PK7BF7LX · pith_short_16: 2ID5PK7BF7LXIC4Y · pith_short_8: 2ID5PK7B

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/2ID5PK7BF7LXIC4YH27WF34OKK \
  | 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: d207d7abe12fd7740b983ebf62ef8e52b2976e8a20e1892259f320f87006e76f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b161f5ef53ba053033fbcd779212c99981cf55d8919fa78c6de535e9892ab367",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-06-10T19:39:20Z",
    "title_canon_sha256": "b357848b91b7f0f4f94463bc9bdf4ebe8a24c3f1f30208bb9281374e2304cec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04912",
    "kind": "arxiv",
    "version": 2
  }
}