Pith Number

pith:7M4Z5LII

pith:2019:7M4Z5LII45BYJKSPXVWACLHMH3

not attested not anchored not stored refs pending

Optimal and Sub-optimal Feedback Controls for Biogas Production

Alain Rapaport (MISTEA), Antoine Haddon (DIM, Hector Ramirez (DIM), MISTEA)

arxiv:1906.02945 v1 · 2019-06-07 · 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{7M4Z5LII45BYJKSPXVWACLHMH3}

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	2026-05-17T23:43:55.620076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb399ead08e74384aa4fbd6c012cec3ee15d0578364a55081380994ac17b2605

Aliases

arxiv: 1906.02945 · arxiv_version: 1906.02945v1 · doi: 10.48550/arxiv.1906.02945 · pith_short_12: 7M4Z5LII45BY · pith_short_16: 7M4Z5LII45BYJKSP · pith_short_8: 7M4Z5LII

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/7M4Z5LII45BYJKSPXVWACLHMH3 \
  | 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: fb399ead08e74384aa4fbd6c012cec3ee15d0578364a55081380994ac17b2605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de6d1d4a8199b5b6ce5b39530aac004d70c81b462566ae0a3a81233425474fc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-07T08:16:09Z",
    "title_canon_sha256": "8dacbbf0e3d4839215657737c9d13ed931d787bd1eb09cb7c1a9708a774d491a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02945",
    "kind": "arxiv",
    "version": 1
  }
}