Pith Number

pith:6YLIDFPQ

pith:2012:6YLIDFPQ6P53WPYCXS5QL2HJ47

not attested not anchored not stored refs pending

Eigenvalue Asymptotics of Perturbed Self-adjoint Operators

A. A. Shkalikov

arxiv:1202.5204 v1 · 2012-02-23 · 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{6YLIDFPQ6P53WPYCXS5QL2HJ47}

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	2026-05-18T04:01:38.736149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6168195f0f3fbbb3f02bcbb05e8e9e7dbc065f9c68612aeafc3550ebde4541a

Aliases

arxiv: 1202.5204 · arxiv_version: 1202.5204v1 · doi: 10.48550/arxiv.1202.5204 · pith_short_12: 6YLIDFPQ6P53 · pith_short_16: 6YLIDFPQ6P53WPYC · pith_short_8: 6YLIDFPQ

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/6YLIDFPQ6P53WPYCXS5QL2HJ47 \
  | 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: f6168195f0f3fbbb3f02bcbb05e8e9e7dbc065f9c68612aeafc3550ebde4541a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cb327a8a2e8b0ee27dd09a46c9e52103ce75ec59372daa5361c5f574d02d184",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-02-23T15:11:01Z",
    "title_canon_sha256": "05cd2f3c476c34cef3e504a1c8de4ab0c5454aec0b0caf6c4250afb3d10eac46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5204",
    "kind": "arxiv",
    "version": 1
  }
}