Pith Number

pith:OOWKAI3L

pith:2018:OOWKAI3LGSSHXSC6UM32ZTNPE2

not attested not anchored not stored refs pending

Distances of optimal solutions of mixed-integer programs

Joseph Paat, Robert Weismantel, Stefan Weltge

arxiv:1801.08751 v1 · 2018-01-26 · 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{OOWKAI3LGSSHXSC6UM32ZTNPE2}

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	2026-05-18T00:25:03.121248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73aca0236b34a47bc85ea337accdaf268243ad496cd3fa522f9ceedd5e0fe516

Aliases

arxiv: 1801.08751 · arxiv_version: 1801.08751v1 · doi: 10.48550/arxiv.1801.08751 · pith_short_12: OOWKAI3LGSSH · pith_short_16: OOWKAI3LGSSHXSC6 · pith_short_8: OOWKAI3L

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/OOWKAI3LGSSHXSC6UM32ZTNPE2 \
  | 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: 73aca0236b34a47bc85ea337accdaf268243ad496cd3fa522f9ceedd5e0fe516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0bd84a3346b179b233da5df59dae6da5103e84ff88acaa0ea887514880a097c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-01-26T10:51:51Z",
    "title_canon_sha256": "ecae944e6e0f95d21642b65e612498961e5cbc7081697405f5bbc04d06d93e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08751",
    "kind": "arxiv",
    "version": 1
  }
}