Pith Number

pith:Z5XWJDHI

pith:2023:Z5XWJDHI4Z6LPSE4MUP63VSFVD

not attested not anchored not stored refs pending

Efficient Branching Rules for Optimizing Range and Order-Based Objective Functions

Andrea Lodi, Bart van Rossum, Rui Chen

arxiv:2311.03885 v3 · 2023-11-07 · 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{Z5XWJDHI4Z6LPSE4MUP63VSFVD}

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	2026-07-05T10:59:22.708654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf6f648ce8e67cb7c89c651fedd645a8fd79f3d81e6b4132c30174d3e10bb766

Aliases

arxiv: 2311.03885 · arxiv_version: 2311.03885v3 · doi: 10.48550/arxiv.2311.03885 · pith_short_12: Z5XWJDHI4Z6L · pith_short_16: Z5XWJDHI4Z6LPSE4 · pith_short_8: Z5XWJDHI

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/Z5XWJDHI4Z6LPSE4MUP63VSFVD \
  | 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: cf6f648ce8e67cb7c89c651fedd645a8fd79f3d81e6b4132c30174d3e10bb766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9379224c4f9e9cd0d56af4a025058e80df171df0edc78b1b02b90ef015522c29",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-11-07T10:59:25Z",
    "title_canon_sha256": "cbb570da6393ce3e5a144a56185f87452c793ce7e3b0419090f5f1683c863cbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.03885",
    "kind": "arxiv",
    "version": 3
  }
}