Pith Number

pith:Q24M5PV5

pith:2020:Q24M5PV5UIRJXODYWRSOESFNDF

not attested not anchored not stored refs pending

The Backhaul Profit Maximization Problem: Optimization Models and Solution Procedures

Andrew Junfang Yu, Eli V. Olinick, Yuanyuan Dong, Yulan Bai

arxiv:2003.12918 v2 · 2020-03-29 · 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{Q24M5PV5UIRJXODYWRSOESFNDF}

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	2026-07-05T01:10:14.592740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86b8cebebda2229bb878b464e248ad196c7bc4f313c1503f721fb12d583e2004

Aliases

arxiv: 2003.12918 · arxiv_version: 2003.12918v2 · doi: 10.48550/arxiv.2003.12918 · pith_short_12: Q24M5PV5UIRJ · pith_short_16: Q24M5PV5UIRJXODY · pith_short_8: Q24M5PV5

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/Q24M5PV5UIRJXODYWRSOESFNDF \
  | 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: 86b8cebebda2229bb878b464e248ad196c7bc4f313c1503f721fb12d583e2004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c41c74b0391e8b6c160d3099bf3ad5980fe11cf0812ec6a385bf229e792b2ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-03-29T01:23:15Z",
    "title_canon_sha256": "c31a40483bab9e1ed4571e52d4167bc47045fbee012fd9b56844c7dff4289f2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.12918",
    "kind": "arxiv",
    "version": 2
  }
}