Pith Number

pith:LWMQ3N33

pith:2022:LWMQ3N33ZKWIBPFZ2KGTLBKLMM

not attested not anchored not stored refs pending

Efficient MIP Techniques for Computing the Relaxation Complexity

Christopher Hojny, Gennadiy Averkov, Matthias Schymura

arxiv:2203.05224 v2 · 2022-03-10 · 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{LWMQ3N33ZKWIBPFZ2KGTLBKLMM}

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	2026-07-05T04:04:07.054623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d990db77bcaac80bcb9d28d35854b63201c4d7d68fef74a3f504c8e03e3944d

Aliases

arxiv: 2203.05224 · arxiv_version: 2203.05224v2 · doi: 10.48550/arxiv.2203.05224 · pith_short_12: LWMQ3N33ZKWI · pith_short_16: LWMQ3N33ZKWIBPFZ · pith_short_8: LWMQ3N33

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/LWMQ3N33ZKWIBPFZ2KGTLBKLMM \
  | 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: 5d990db77bcaac80bcb9d28d35854b63201c4d7d68fef74a3f504c8e03e3944d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66a2134e87aee8ceb02cd47822e214acd5344273d59605b94d55e4e12c918385",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-03-10T08:05:01Z",
    "title_canon_sha256": "d349729649f8bf5aae5e1a36c8e4d3915a42cd7d587a8f7dbfd2b7d8eb31637b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.05224",
    "kind": "arxiv",
    "version": 2
  }
}