Pith Number

pith:FIM5L6JS

pith:2017:FIM5L6JSIP6FWA4NQJ4QJRI3W6

not attested not anchored not stored refs pending

Lower bounds on the lattice-free rank for packing and covering integer programs

Alberto Del Pia, Marco Molinaro, Merve Bodur, Santanu S. Dey

arxiv:1710.00031 v2 · 2017-09-29 · 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{FIM5L6JSIP6FWA4NQJ4QJRI3W6}

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	2026-05-18T00:19:41.805226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a19d5f93243fc5b038d827904c51bb7afb3c2c86e65bf32764024bab3f1d177

Aliases

arxiv: 1710.00031 · arxiv_version: 1710.00031v2 · doi: 10.48550/arxiv.1710.00031 · pith_short_12: FIM5L6JSIP6F · pith_short_16: FIM5L6JSIP6FWA4N · pith_short_8: FIM5L6JS

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/FIM5L6JSIP6FWA4NQJ4QJRI3W6 \
  | 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: 2a19d5f93243fc5b038d827904c51bb7afb3c2c86e65bf32764024bab3f1d177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "709e58b97c7a261a96be11b1583351332642855c1623a6f3f59074f889d13969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-29T18:57:04Z",
    "title_canon_sha256": "3373a21324926bb7125d9d8b5745240968faebfcff31aa9f34debf6e402cf34a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00031",
    "kind": "arxiv",
    "version": 2
  }
}