Pith Number

pith:LXCKZ7DW

pith:2016:LXCKZ7DW5IG6E7QIQLXDIT72J6

not attested not anchored not stored refs pending

Solving DC programs with a polyhedral component utilizing a multiple objective linear programming solver

Andreas L\"ohne, Andrea Wagner

arxiv:1610.05470 v2 · 2016-10-18 · 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{LXCKZ7DW5IG6E7QIQLXDIT72J6}

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	2026-05-18T00:46:59.408917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dc4acfc76ea0de27e0882ee344ffa4f861de33ca9031a5ed8713457c1578a01

Aliases

arxiv: 1610.05470 · arxiv_version: 1610.05470v2 · doi: 10.48550/arxiv.1610.05470 · pith_short_12: LXCKZ7DW5IG6 · pith_short_16: LXCKZ7DW5IG6E7QI · pith_short_8: LXCKZ7DW

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/LXCKZ7DW5IG6E7QIQLXDIT72J6 \
  | 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: 5dc4acfc76ea0de27e0882ee344ffa4f861de33ca9031a5ed8713457c1578a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0e968ae13995100b5a9ade78bcbc27ff1905fc7d409889fac175ca35ee9eee0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-18T08:07:38Z",
    "title_canon_sha256": "ce78acd58028b2364754319c6b1cedd0688baf5d310f45c53375718786db53e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05470",
    "kind": "arxiv",
    "version": 2
  }
}