Pith Number

pith:SU35Z2K7

pith:2026:SU35Z2K7N4AHGZ3ST554OAVG2W

not attested not anchored not stored refs pending

Exploiting Variable Implications in Presolve for Mixed Integer Programming

Chang-Long Li, Meng Lu, Wei-Kun Chen, Yu-Hong Dai, Zhao-Wei Wang, Zi-Shuo Li

arxiv:2607.04313 v1 · 2026-07-05 · 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{SU35Z2K7N4AHGZ3ST554OAVG2W}

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	2026-07-07T02:19:08.364899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9537dce95f6f007367729f7bc702a6d59881fc8200967f9b972564d84774f234

Aliases

arxiv: 2607.04313 · arxiv_version: 2607.04313v1 · doi: 10.48550/arxiv.2607.04313 · pith_short_12: SU35Z2K7N4AH · pith_short_16: SU35Z2K7N4AHGZ3S · pith_short_8: SU35Z2K7

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/SU35Z2K7N4AHGZ3ST554OAVG2W \
  | 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: 9537dce95f6f007367729f7bc702a6d59881fc8200967f9b972564d84774f234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc48c4f70f18066c69b73ad2e5eddf188f024b965febe47abc0c8a2462826757",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-05T14:01:58Z",
    "title_canon_sha256": "6b9a1c18830682f9edade5078d9fca357b5493702989efd402b45797760dda25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04313",
    "kind": "arxiv",
    "version": 1
  }
}