Pith Number

pith:2MLDUMJB

pith:2018:2MLDUMJBT4663HA4N6TU7ADO3M

not attested not anchored not stored refs pending

Calculus of convex polyhedra and polyhedral convex functions by utilizing a multiple objective linear programming solver

Andreas L\"ohne, Benjamin Wei{\ss}ing, Daniel Ciripoi

arxiv:1801.10584 v2 · 2018-01-31 · 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{2MLDUMJBT4663HA4N6TU7ADO3M}

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	2026-05-18T00:10:46.888365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3163a31219f3ded9c1c6fa74f806edb366c83ade0c4940560ff5e2cfbcfe191

Aliases

arxiv: 1801.10584 · arxiv_version: 1801.10584v2 · doi: 10.48550/arxiv.1801.10584 · pith_short_12: 2MLDUMJBT466 · pith_short_16: 2MLDUMJBT4663HA4 · pith_short_8: 2MLDUMJB

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/2MLDUMJBT4663HA4N6TU7ADO3M \
  | 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: d3163a31219f3ded9c1c6fa74f806edb366c83ade0c4940560ff5e2cfbcfe191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cc593b2a641c48c3833f6ec219febb55c5ace7f7f2cec0801bb22a73fe43226",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-01-31T18:09:31Z",
    "title_canon_sha256": "b55278536249ae856f6f46fd44ae2950c98e3f845553a37103588b54c374adb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10584",
    "kind": "arxiv",
    "version": 2
  }
}