Pith Number

pith:XT7U6AYF

pith:2014:XT7U6AYFZOP2KDIF4UVPSKRLRU

not attested not anchored not stored refs pending

Packing While Traveling: Mixed Integer Programming for a Class of Nonlinear Knapsack Problems

Frank Neumann, Sergey Polyakovskiy

arxiv:1411.5768 v2 · 2014-11-21 · 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{XT7U6AYFZOP2KDIF4UVPSKRLRU}

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	2026-05-18T02:18:49.107952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcff4f0305cb9fa50d05e52af92a2b8d168af30473a7109bd92157e8df8597ef

Aliases

arxiv: 1411.5768 · arxiv_version: 1411.5768v2 · doi: 10.48550/arxiv.1411.5768 · pith_short_12: XT7U6AYFZOP2 · pith_short_16: XT7U6AYFZOP2KDIF · pith_short_8: XT7U6AYF

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/XT7U6AYFZOP2KDIF4UVPSKRLRU \
  | 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: bcff4f0305cb9fa50d05e52af92a2b8d168af30473a7109bd92157e8df8597ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d927f1b6dac52db7c3044f56098bcd7b78118c8922f2d295afe4e6ddb110612d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-11-21T04:53:50Z",
    "title_canon_sha256": "43b07245f4a6b0b6b3c167580faa47b046144863ade6b65e3381507d6fc5a0dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5768",
    "kind": "arxiv",
    "version": 2
  }
}