pith. sign in
Pith Number

pith:4GVKY53W

pith:2016:4GVKY53W7EDRLWU4X3S2K6OST4
not attested not anchored not stored refs pending

Online bin packing with cardinality constraints resolved

Asaf Levin, Gy\"orgy D\'osa, J\'anos Balogh, J\'ozsef B\'ek\'esi, Leah Epstein

arxiv:1608.06415 v1 · 2016-08-23 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4GVKY53W7EDRLWU4X3S2K6OST4}

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 2026-05-18T01:08:14.088511Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e1aaac7776f90715da9cbee5a579d29f3f374eaf9b0df84a81eda58d7b73a003

Aliases

arxiv: 1608.06415 · arxiv_version: 1608.06415v1 · doi: 10.48550/arxiv.1608.06415 · pith_short_12: 4GVKY53W7EDR · pith_short_16: 4GVKY53W7EDRLWU4 · pith_short_8: 4GVKY53W
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4GVKY53W7EDRLWU4X3S2K6OST4 \
  | 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: e1aaac7776f90715da9cbee5a579d29f3f374eaf9b0df84a81eda58d7b73a003
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d0fec00b6f7cbe5f75c1064a0204e01fa9fc492255450c6c9b6e865b0709d0f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-08-23T08:24:00Z",
    "title_canon_sha256": "2e335e9c114023ccc5af40b43523b324d5ab8b09105e1537d2516fd071731999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06415",
    "kind": "arxiv",
    "version": 1
  }
}