Pith Number

pith:HP2SGAIO

pith:2019:HP2SGAIODTFUKJSO7OCHQ34WOI

not attested not anchored not stored refs pending

A global constraint for the capacitated single-item lot-sizing problem

Bernard Penz, Grigori German, Hadrien Cambazard, Jean-Philippe Gayon

arxiv:1907.02405 v1 · 2019-07-04 · math.OC · cs.AI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HP2SGAIODTFUKJSO7OCHQ34WOI}

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	2026-05-17T23:41:28.689097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf523010e1ccb45264efb84786f967233a5702a083b071aaa067200fd3d3603

Aliases

arxiv: 1907.02405 · arxiv_version: 1907.02405v1 · doi: 10.48550/arxiv.1907.02405 · pith_short_12: HP2SGAIODTFU · pith_short_16: HP2SGAIODTFUKJSO · pith_short_8: HP2SGAIO

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/HP2SGAIODTFUKJSO7OCHQ34WOI \
  | 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: 3bf523010e1ccb45264efb84786f967233a5702a083b071aaa067200fd3d3603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e3a148e53dc9d71ff0367b6750d53ba546aadbbcf0f34048616fad87238d1be",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-04T13:57:39Z",
    "title_canon_sha256": "c79188ecd4b52ae4ebfbb4dfe5ea3da2e25872b47160c9e273767ac158458abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02405",
    "kind": "arxiv",
    "version": 1
  }
}