Pith Number

pith:SQX2V5JU

pith:2012:SQX2V5JUDKYSLV6K7OIXMYD4XE

not attested not anchored not stored refs pending

Periodic optimal control for biomass productivity maximization in a photobioreactor using natural light

Andrei R. Akhmetzhanov, Fr\'ed\'eric Grognard (INRIA Sophia Antipolis), Olivier Bernard (INRIA Sophia Antipolis)

arxiv:1204.2906 v1 · 2012-04-13 · 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{SQX2V5JUDKYSLV6K7OIXMYD4XE}

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	2026-05-18T03:58:02.562669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

942faaf5341ab125d7cafb9176607cb92a96eb4e567a40cb641a21b4c795a269

Aliases

arxiv: 1204.2906 · arxiv_version: 1204.2906v1 · doi: 10.48550/arxiv.1204.2906 · pith_short_12: SQX2V5JUDKYS · pith_short_16: SQX2V5JUDKYSLV6K · pith_short_8: SQX2V5JU

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/SQX2V5JUDKYSLV6K7OIXMYD4XE \
  | 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: 942faaf5341ab125d7cafb9176607cb92a96eb4e567a40cb641a21b4c795a269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b9aabee1b7ee51e4ad76454f9073d9f586162a39ebd520a7c54653c6cc8f43d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-04-13T07:45:47Z",
    "title_canon_sha256": "2d27fd0f19f54948f8f4e74b8a37d16f9cfad8240bd643b118f34212409d3388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2906",
    "kind": "arxiv",
    "version": 1
  }
}