Pith Number

pith:YQH6JD32

pith:2015:YQH6JD32LSZXF7LG7TUTPCPAIT

not attested not anchored not stored refs pending

Optimal sampled-data control, and generalizations on time scales

Emmanuel Tr\'elat (LJLL), Lo\"ic Bourdin (XLIM)

arxiv:1501.07361 v2 · 2015-01-29 · 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{YQH6JD32LSZXF7LG7TUTPCPAIT}

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	2026-05-18T01:25:01.993293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c40fe48f7a5cb372fd66fce93789e044de5ba36e659a521aa4f210a6c3281872

Aliases

arxiv: 1501.07361 · arxiv_version: 1501.07361v2 · doi: 10.48550/arxiv.1501.07361 · pith_short_12: YQH6JD32LSZX · pith_short_16: YQH6JD32LSZXF7LG · pith_short_8: YQH6JD32

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/YQH6JD32LSZXF7LG7TUTPCPAIT \
  | 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: c40fe48f7a5cb372fd66fce93789e044de5ba36e659a521aa4f210a6c3281872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c5fa26a6887c2df85790b9d4a45505d5d6f9282eaefd46357a5d63b96a4c0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-01-29T07:43:57Z",
    "title_canon_sha256": "c64ea33f5298756f1de961ac266dc2e94c4a5dea8658ce896bb62b8e140ff59d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07361",
    "kind": "arxiv",
    "version": 2
  }
}