Pith Number

pith:SANXBKUI

pith:2020:SANXBKUI5BSORUHD6YZUL4WC4I

not attested not anchored not stored refs pending

Complexity of branch-and-bound and cutting planes in mixed-integer optimization -- II

Amitabh Basu, Hongyi Jiang, Marco Di Summa, Michele Conforti

arxiv:2011.05474 v4 · 2020-11-11 · math.OC · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SANXBKUI5BSORUHD6YZUL4WC4I}

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	2026-07-05T02:41:29.044652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

901b70aa88e864e8d0e3f63345f2c2e21743605ed02635e016c3f90ba5632739

Aliases

arxiv: 2011.05474 · arxiv_version: 2011.05474v4 · doi: 10.48550/arxiv.2011.05474 · pith_short_12: SANXBKUI5BSO · pith_short_16: SANXBKUI5BSORUHD · pith_short_8: SANXBKUI

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/SANXBKUI5BSORUHD6YZUL4WC4I \
  | 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: 901b70aa88e864e8d0e3f63345f2c2e21743605ed02635e016c3f90ba5632739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b018008b462dcebda436c14d2d99c608d9097a1e37e925481b206b9fd8c4c8ff",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-11-11T00:17:17Z",
    "title_canon_sha256": "e8d32b44085dcfeb832fab12a2ca49f07458ad265d84a14b7a7691c221796a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.05474",
    "kind": "arxiv",
    "version": 4
  }
}