Pith Number

pith:KY7YA232

pith:2020:KY7YA232DVOQCXMBYKJBVSMZHA

not attested not anchored not stored refs pending

Complexity of linear relaxations in integer programming

Gennadiy Averkov, Matthias Schymura

arxiv:2003.07817 v1 · 2020-03-17 · math.CO · 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{KY7YA232DVOQCXMBYKJBVSMZHA}

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	2026-07-05T00:48:30.521238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

563f806b7a1d5d015d81c2921ac999381ee63d442ab1975b986c584476041653

Aliases

arxiv: 2003.07817 · arxiv_version: 2003.07817v1 · doi: 10.48550/arxiv.2003.07817 · pith_short_12: KY7YA232DVOQ · pith_short_16: KY7YA232DVOQCXMB · pith_short_8: KY7YA232

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/KY7YA232DVOQCXMBYKJBVSMZHA \
  | 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: 563f806b7a1d5d015d81c2921ac999381ee63d442ab1975b986c584476041653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "383ed7b349dcca361c75e5880736f1e72204aae99f43e2f3d955a5328ddc8357",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-03-17T17:08:40Z",
    "title_canon_sha256": "2020d86d2c18bac0c3c327b8b3f0ba7cef2bc9c5c8c14ed7c579c27fe01d607a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.07817",
    "kind": "arxiv",
    "version": 1
  }
}