Pith Number

pith:GKU3MHPG

pith:2012:GKU3MHPG5V2JMYVWOBDQI2YOZT

not attested not anchored not stored refs pending

Spectral Analysis of the Non-self-adjoint Mathieu-Hill Operator

O. A. Veliev

arxiv:1202.4735 v5 · 2012-02-21 · 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{GKU3MHPG5V2JMYVWOBDQI2YOZT}

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	2026-05-18T00:47:31.814118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a9b61de6ed749662b67047046b0eccd8f113503d8b8a0b9bf0e7ae7d6010e5

Aliases

arxiv: 1202.4735 · arxiv_version: 1202.4735v5 · doi: 10.48550/arxiv.1202.4735 · pith_short_12: GKU3MHPG5V2J · pith_short_16: GKU3MHPG5V2JMYVW · pith_short_8: GKU3MHPG

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/GKU3MHPG5V2JMYVWOBDQI2YOZT \
  | 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: 32a9b61de6ed749662b67047046b0eccd8f113503d8b8a0b9bf0e7ae7d6010e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50c1df9bdb2b8df68d2345f63eb8320917c25c81c77f70a589fe77e3f75fd02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-02-21T19:36:02Z",
    "title_canon_sha256": "98d25194e922ac418ccc4f12ccbef0a1c71c1b941e3cb8b8dd03671d03601cf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4735",
    "kind": "arxiv",
    "version": 5
  }
}