Pith Number

pith:DYEFZ5BO

pith:2019:DYEFZ5BOLMGCVKJ6ZXEKMSAFWQ

not attested not anchored not stored refs pending

A constructive proof of Pokrzywa's theorem about perturbations of matrix pencils

Nadya Shvai, Tetiana Klymchuk, Vladimir V. Sergeichuk, Vyacheslav Futorny

arxiv:1907.03213 v1 · 2019-07-07 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DYEFZ5BOLMGCVKJ6ZXEKMSAFWQ}

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	2026-05-17T23:41:18.618438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e085cf42e5b0c2aa93ecdc8a64805b41c91922b59a4ba919a508494fea5daa6

Aliases

arxiv: 1907.03213 · arxiv_version: 1907.03213v1 · doi: 10.48550/arxiv.1907.03213 · pith_short_12: DYEFZ5BOLMGC · pith_short_16: DYEFZ5BOLMGCVKJ6 · pith_short_8: DYEFZ5BO

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/DYEFZ5BOLMGCVKJ6ZXEKMSAFWQ \
  | 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: 1e085cf42e5b0c2aa93ecdc8a64805b41c91922b59a4ba919a508494fea5daa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f6f158bc7fa0021188531d5017171eb7108db9882efc247cf98f2e1eaf4820",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-07-07T02:24:32Z",
    "title_canon_sha256": "855cc07f119756585841d7c47c429fcbaf0fc706aec9919ebf860d9726368baf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03213",
    "kind": "arxiv",
    "version": 1
  }
}