Pith Number

pith:BEBSJ7B3

pith:2025:BEBSJ7B3IZI2OANH6SHOWRDIRB

not attested not anchored not stored refs pending

A Tight Double-Exponentially Lower Bound for High-Multiplicity Bin Packing

Felix Ohnesorge, Klaus Jansen, Lis Pirotton

arxiv:2512.02691 v3 · 2025-12-02 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEBSJ7B3IZI2OANH6SHOWRDIRB}

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	2026-05-20T00:05:38.515629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090324fc3b4651a701a7f48eeb4468887307b48230c512deb187a00a0140fc26

Aliases

arxiv: 2512.02691 · arxiv_version: 2512.02691v3 · doi: 10.48550/arxiv.2512.02691 · pith_short_12: BEBSJ7B3IZI2 · pith_short_16: BEBSJ7B3IZI2OANH · pith_short_8: BEBSJ7B3

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/BEBSJ7B3IZI2OANH6SHOWRDIRB \
  | 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: 090324fc3b4651a701a7f48eeb4468887307b48230c512deb187a00a0140fc26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55e1eafe24105216819485058606003f11c615fe31c27ead6a668d3f9b2c5f4f",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-12-02T12:24:08Z",
    "title_canon_sha256": "e8922f1d0a02a29beb918ba0f9b7eaa07fb73fb468388dc6632ff223ec06e03e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.02691",
    "kind": "arxiv",
    "version": 3
  }
}