Pith Number

pith:KCKZDJZH

pith:2015:KCKZDJZH3IF66QCFGZO5CI3DEZ

not attested not anchored not stored refs pending

A Logarithmic Additive Integrality Gap for Bin Packing

Rebecca Hoberg, Thomas Rothvoss

arxiv:1503.08796 v1 · 2015-03-30 · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCKZDJZH3IF66QCFGZO5CI3DEZ}

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	2026-05-18T02:20:00.914137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509591a727da0bef4045365dd123632659f72528426d9a41603a732d94d701be

Aliases

arxiv: 1503.08796 · arxiv_version: 1503.08796v1 · doi: 10.48550/arxiv.1503.08796 · pith_short_12: KCKZDJZH3IF6 · pith_short_16: KCKZDJZH3IF66QCF · pith_short_8: KCKZDJZH

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/KCKZDJZH3IF66QCFGZO5CI3DEZ \
  | 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: 509591a727da0bef4045365dd123632659f72528426d9a41603a732d94d701be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa169622de78df717a5806aec9d9b220c8f8f80b29a335594c2f5f13f551a13b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-03-30T19:02:12Z",
    "title_canon_sha256": "d8232f1d4f23a911aa958f91ac0607a66116781982fb1bc16d42b6982c259346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08796",
    "kind": "arxiv",
    "version": 1
  }
}