Pith Number

pith:5UGAPJIS

pith:2018:5UGAPJISZWEDU2DZKP5RUXTRGU

not attested not anchored not stored refs pending

Standard versus strict Bounded Real Lemma with infinite-dimensional state space III: The dichotomous and bicausal cases

G.J. Groenewald, J.A. Ball, S. ter Horst

arxiv:1804.08510 v1 · 2018-04-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UGAPJISZWEDU2DZKP5RUXTRGU}

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	2026-05-18T00:17:48.083784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0c07a512cd883a687953fb1a5e713525980137012ac313d95b5a1bfc741df7

Aliases

arxiv: 1804.08510 · arxiv_version: 1804.08510v1 · doi: 10.48550/arxiv.1804.08510 · pith_short_12: 5UGAPJISZWED · pith_short_16: 5UGAPJISZWEDU2DZ · pith_short_8: 5UGAPJIS

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/5UGAPJISZWEDU2DZKP5RUXTRGU \
  | 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: ed0c07a512cd883a687953fb1a5e713525980137012ac313d95b5a1bfc741df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f9c669f1b9e6056bec9d70d36a3aa873c5c6d89c91aec9d5d3d4ca7fb58255",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-23T15:31:41Z",
    "title_canon_sha256": "90eff64ab50d18f28de024677857c9ec312ac1fc2274018933c164bdaa3640ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08510",
    "kind": "arxiv",
    "version": 1
  }
}