Pith Number

pith:BYQQUM3B

pith:2013:BYQQUM3BPOHSCRMKOOFH36H4SF

not attested not anchored not stored refs pending

On exponential stability for linear discrete-time systems in Banach spaces

Ioan-Lucian Popa, Mihail Megan, Traian Ceausu

arxiv:1305.2036 v1 · 2013-05-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYQQUM3BPOHSCRMKOOFH36H4SF}

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	2026-05-18T03:26:09.492667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e210a33617b8f21458a738a7df8fc916ef92e885db4afdde9215846d9816700

Aliases

arxiv: 1305.2036 · arxiv_version: 1305.2036v1 · doi: 10.48550/arxiv.1305.2036 · pith_short_12: BYQQUM3BPOHS · pith_short_16: BYQQUM3BPOHSCRMK · pith_short_8: BYQQUM3B

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/BYQQUM3BPOHSCRMKOOFH36H4SF \
  | 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: 0e210a33617b8f21458a738a7df8fc916ef92e885db4afdde9215846d9816700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90d4964b290658a40fc22802f82ceb689300c18098586ac025d992602177bfb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-09T08:57:31Z",
    "title_canon_sha256": "e758b467090adc60f124cf1107adddd8424cb0a0cdbb5fa49973bbea8e83e4fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2036",
    "kind": "arxiv",
    "version": 1
  }
}