Pith Number

pith:V43LWNIO

pith:2013:V43LWNIOFATZV6OJ4EZX7HFFB3

not attested not anchored not stored refs pending

Optimal control of a bioreactor for biofuel production

Benedetto Piccoli, Roberta Ghezzi

arxiv:1303.6688 v2 · 2013-03-26 · 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{V43LWNIOFATZV6OJ4EZX7HFFB3}

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	2026-05-18T01:37:21.850821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af36bb350e28279af9c9e1337f9ca50ecbe3402774a746de6ed8d684b3c4de6e

Aliases

arxiv: 1303.6688 · arxiv_version: 1303.6688v2 · doi: 10.48550/arxiv.1303.6688 · pith_short_12: V43LWNIOFATZ · pith_short_16: V43LWNIOFATZV6OJ · pith_short_8: V43LWNIO

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/V43LWNIOFATZV6OJ4EZX7HFFB3 \
  | 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: af36bb350e28279af9c9e1337f9ca50ecbe3402774a746de6ed8d684b3c4de6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b268e47b612af5ec01ec3906f8bb69d1e7c0a9897eb133fc92981a90f0cbba3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-03-26T22:36:30Z",
    "title_canon_sha256": "cdc6936df8e0680a839a990ac10fe91014593ad7b459b63f29a668e908a22e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6688",
    "kind": "arxiv",
    "version": 2
  }
}