Pith Number

pith:YZTAZRB6

pith:2010:YZTAZRB6VGJS2KLKBENUQ2EFCZ

not attested not anchored not stored refs pending

Bohl-Perron type stability theorems for linear difference equations with infinite delay

Elena Braverman, Illya M. Karabash

arxiv:1009.6163 v1 · 2010-09-30 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZTAZRB6VGJS2KLKBENUQ2EFCZ}

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	2026-05-18T03:39:51.219206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6660cc43ea9932d296a091b48688516671e99866366240be771f060c9df6bcc

Aliases

arxiv: 1009.6163 · arxiv_version: 1009.6163v1 · doi: 10.48550/arxiv.1009.6163 · pith_short_12: YZTAZRB6VGJS · pith_short_16: YZTAZRB6VGJS2KLK · pith_short_8: YZTAZRB6

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/YZTAZRB6VGJS2KLKBENUQ2EFCZ \
  | 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: c6660cc43ea9932d296a091b48688516671e99866366240be771f060c9df6bcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3e36532dd9da0f5e50f1dd4cf4c4af88dbdc2cc2a291e41981afb274b6774c8",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-30T15:10:45Z",
    "title_canon_sha256": "5e3a9c0ea3bc196d7b45255af68ee13c57e4e0d32c0aa3da66af28c55e3bcee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6163",
    "kind": "arxiv",
    "version": 1
  }
}