Pith Number

pith:6O6HEKN7

pith:2019:6O6HEKN7P4BDLBZUZVYUDHSQ7M

not attested not anchored not stored refs pending

Optimal control of second-order integral equations

S. A. Belbas

arxiv:1904.06561 v1 · 2019-04-13 · 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{6O6HEKN7P4BDLBZUZVYUDHSQ7M}

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	2026-05-17T23:48:38.827549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3bc7229bf7f02358734cd71419e50fb3b135d06b4bcc2c5cf77bde4e1e41c9f

Aliases

arxiv: 1904.06561 · arxiv_version: 1904.06561v1 · doi: 10.48550/arxiv.1904.06561 · pith_short_12: 6O6HEKN7P4BD · pith_short_16: 6O6HEKN7P4BDLBZU · pith_short_8: 6O6HEKN7

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/6O6HEKN7P4BDLBZUZVYUDHSQ7M \
  | 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: f3bc7229bf7f02358734cd71419e50fb3b135d06b4bcc2c5cf77bde4e1e41c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f3faee5800149b5bf1cbe6bd2766e2183552f65a3a2275fe27a915dfe952dd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-04-13T15:53:03Z",
    "title_canon_sha256": "4039170311722b2a39658bf55255cb3adbf5ceb212269dce97d8ae1f260240c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06561",
    "kind": "arxiv",
    "version": 1
  }
}