Pith Number

pith:BCTIGIBO

pith:2015:BCTIGIBOKEVKIQDDTR7OIT4JMU

not attested not anchored not stored refs pending

Higher order super-twisting algorithm for perturbed chains of integrators of arbitrary order

Mohamed Harmouche, Salah Laghrouche, Yacine Chitour

arxiv:1507.07893 v3 · 2015-07-28 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCTIGIBOKEVKIQDDTR7OIT4JMU}

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	2026-05-18T01:17:52.643397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08a683202e512aa440639c7ee44f89652f4051a7cdfc28563ea51a20e3f4e338

Aliases

arxiv: 1507.07893 · arxiv_version: 1507.07893v3 · doi: 10.48550/arxiv.1507.07893 · pith_short_12: BCTIGIBOKEVK · pith_short_16: BCTIGIBOKEVKIQDD · pith_short_8: BCTIGIBO

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/BCTIGIBOKEVKIQDDTR7OIT4JMU \
  | 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: 08a683202e512aa440639c7ee44f89652f4051a7cdfc28563ea51a20e3f4e338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aef0742c051ac7c70cbf59c4c7b27017155ce836167a78e42999f7f932fc62c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-28T18:40:40Z",
    "title_canon_sha256": "e6f2a48782c5a025dbb3d52292e061d3b30b63de5409b6a38ab9bcf81b062b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07893",
    "kind": "arxiv",
    "version": 3
  }
}