Pith Number

pith:ZAR7LKMK

pith:2018:ZAR7LKMKH34RRAATCVA4UIUZDO

not attested not anchored not stored refs pending

Completeness property of one-dimensional perturbations of normal and spectral operators generated by first order systems

Anton A. Lunyov, Mark M. Malamud

arxiv:1807.05345 v1 · 2018-07-14 · 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{ZAR7LKMKH34RRAATCVA4UIUZDO}

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	2026-05-18T00:10:43.768698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c823f5a98a3ef91880131541ca22991b9a5864a018ed9298e1d6d1320819a197

Aliases

arxiv: 1807.05345 · arxiv_version: 1807.05345v1 · doi: 10.48550/arxiv.1807.05345 · pith_short_12: ZAR7LKMKH34R · pith_short_16: ZAR7LKMKH34RRAAT · pith_short_8: ZAR7LKMK

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/ZAR7LKMKH34RRAATCVA4UIUZDO \
  | 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: c823f5a98a3ef91880131541ca22991b9a5864a018ed9298e1d6d1320819a197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c368caf5718f10e1c23cb217882ffe15b4e2f21d2398199db6eee9dfb221bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-07-14T07:19:41Z",
    "title_canon_sha256": "486201a27e450eee1197816261a776b0d14bddd85d956d0992f37aa7522fabbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05345",
    "kind": "arxiv",
    "version": 1
  }
}