Pith Number

pith:QQQ6ZAHO

pith:2011:QQQ6ZAHOCWU7DCSQ2ZGVAFELDW

not attested not anchored not stored refs pending

Asymptotic Analysis of Non-self-adjoint Hill Operators

O. A. Veliev

arxiv:1107.2552 v4 · 2011-07-13 · 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{QQQ6ZAHOCWU7DCSQ2ZGVAFELDW}

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	2026-05-18T03:50:25.833064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8421ec80ee15a9f18a50d64d50148b1db7a02d04e35eba693233a1ca933dc454

Aliases

arxiv: 1107.2552 · arxiv_version: 1107.2552v4 · doi: 10.48550/arxiv.1107.2552 · pith_short_12: QQQ6ZAHOCWU7 · pith_short_16: QQQ6ZAHOCWU7DCSQ · pith_short_8: QQQ6ZAHO

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/QQQ6ZAHOCWU7DCSQ2ZGVAFELDW \
  | 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: 8421ec80ee15a9f18a50d64d50148b1db7a02d04e35eba693233a1ca933dc454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e2f045b66226a722b1a5d81613f965904e45b0287d750f28f800ae98525bf5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-07-13T13:46:11Z",
    "title_canon_sha256": "4bf345aec78e7c546e51bc4d1f9797d7bb289f4875ffda54eaad61f2958a5f78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2552",
    "kind": "arxiv",
    "version": 4
  }
}