Pith Number

pith:AEDQZ3QI

pith:2010:AEDQZ3QIIWSVBDNTWZQTPN3CC6

not attested not anchored not stored refs pending

Optimization of a photobioreactor biomass production using natural light

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

arxiv:1009.2137 v1 · 2010-09-11 · 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{AEDQZ3QIIWSVBDNTWZQTPN3CC6}

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	2026-05-18T04:41:04.718286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01070cee0845a5508db3b66137b762178d665bb5f52836c0b89f58fe84c40c7c

Aliases

arxiv: 1009.2137 · arxiv_version: 1009.2137v1 · doi: 10.48550/arxiv.1009.2137 · pith_short_12: AEDQZ3QIIWSV · pith_short_16: AEDQZ3QIIWSVBDNT · pith_short_8: AEDQZ3QI

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/AEDQZ3QIIWSVBDNTWZQTPN3CC6 \
  | 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: 01070cee0845a5508db3b66137b762178d665bb5f52836c0b89f58fe84c40c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "010eae98dfcd58a83d9899d317e11733dc54e8edcc53c6fb7a3e109fac3fc619",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-09-11T05:40:24Z",
    "title_canon_sha256": "fc86dbf1409b52e489e6979c09958ed8507bcdeded70e3e5a9115ee26d18d84f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2137",
    "kind": "arxiv",
    "version": 1
  }
}