Pith Number

pith:NL4SWGCY

pith:2026:NL4SWGCYOZ3RT3STH6E5LFFVJP

not attested not anchored not stored refs pending

Polyhedral extended formulations that approximate the Gomory closure for packing problems

Friedrich Eisenbrand, Jiaye Wei, Lars Rohwedder, Samuel Fiorini

arxiv:2607.09222 v1 · 2026-07-10 · 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{NL4SWGCYOZ3RT3STH6E5LFFVJP}

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	2026-07-13T01:18:53.073785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6af92b1858767719ee533f89d594b54bc83a2f5758d4c227ea743252cc8e5993

Aliases

arxiv: 2607.09222 · arxiv_version: 2607.09222v1 · doi: 10.48550/arxiv.2607.09222 · pith_short_12: NL4SWGCYOZ3R · pith_short_16: NL4SWGCYOZ3RT3ST · pith_short_8: NL4SWGCY

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/NL4SWGCYOZ3RT3STH6E5LFFVJP \
  | 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: 6af92b1858767719ee533f89d594b54bc83a2f5758d4c227ea743252cc8e5993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a968f98b1776c4964a82e1dce5bae40b627d4e8e7ef529a93eece8c62c8e913",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-10T09:13:00Z",
    "title_canon_sha256": "f259090a2d7d9591671e48b9aebf413876818ea9164afabbec1c880d8b26acb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09222",
    "kind": "arxiv",
    "version": 1
  }
}