Pith Number

pith:4UIL2PFT

pith:2016:4UIL2PFTN4WE7ZFERDXWOERS5M

not attested not anchored not stored refs pending

Spectral theory for structured perturbations of linear operators

Klaus-Jochen Engel, Martin Adler

arxiv:1606.05205 v1 · 2016-06-16 · 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{4UIL2PFTN4WE7ZFERDXWOERS5M}

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	2026-05-18T01:03:18.541607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e510bd3cb36f2c4fe4a488ef671232eb2b20e4056064bce4a95d1019c3e09660

Aliases

arxiv: 1606.05205 · arxiv_version: 1606.05205v1 · doi: 10.48550/arxiv.1606.05205 · pith_short_12: 4UIL2PFTN4WE · pith_short_16: 4UIL2PFTN4WE7ZFE · pith_short_8: 4UIL2PFT

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/4UIL2PFTN4WE7ZFERDXWOERS5M \
  | 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: e510bd3cb36f2c4fe4a488ef671232eb2b20e4056064bce4a95d1019c3e09660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5ee93529081736a902eaf191fe9ec26915ef190b7268da334c53bcb83e15d7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-06-16T14:37:05Z",
    "title_canon_sha256": "5ccc1a7598e6a19f29b44c5a67cdb38aa74d053114941d18861dd80f6f995537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05205",
    "kind": "arxiv",
    "version": 1
  }
}