Pith Number

pith:6OWJEW4O

pith:2017:6OWJEW4O7JKNPU6JOFOWOQEPZD

not attested not anchored not stored refs pending

Explicit bounds for solutions to optimal control problems

Georgi Smirnov, Miguel Oliveira

arxiv:1712.04830 v1 · 2017-12-13 · 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{6OWJEW4O7JKNPU6JOFOWOQEPZD}

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	2026-05-18T00:26:53.440083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3ac925b8efa54d7d3c9715d67408fc8e3e3be8e9e73f1612fc4c3e073f3e600

Aliases

arxiv: 1712.04830 · arxiv_version: 1712.04830v1 · doi: 10.48550/arxiv.1712.04830 · pith_short_12: 6OWJEW4O7JKN · pith_short_16: 6OWJEW4O7JKNPU6J · pith_short_8: 6OWJEW4O

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/6OWJEW4O7JKNPU6JOFOWOQEPZD \
  | 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: f3ac925b8efa54d7d3c9715d67408fc8e3e3be8e9e73f1612fc4c3e073f3e600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "202aa643954c122d8144ecf996b85547c7205afc9424228b0ecb87c82ba71370",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-13T15:59:58Z",
    "title_canon_sha256": "594c8b3a40ad6e88d451c862a8b8a7b597351768edf0a8cef4b4aaeb28ec354d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04830",
    "kind": "arxiv",
    "version": 1
  }
}