Pith Number

pith:V4CH3E2N

pith:2013:V4CH3E2N5IJ5M5CSCUVT5KXC3N

not attested not anchored not stored refs pending

Approximation Algorithms for the Incremental Knapsack Problem via Disjunctive Programming

Chun Ye, Daniel Bienstock, Jay Sethuraman

arxiv:1311.4563 v1 · 2013-11-18 · 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{V4CH3E2N5IJ5M5CSCUVT5KXC3N}

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	2026-05-18T03:06:43.966142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af047d934dea13d67452152b3eaae2db770509adf7ab9d29e63188e9c2f37988

Aliases

arxiv: 1311.4563 · arxiv_version: 1311.4563v1 · doi: 10.48550/arxiv.1311.4563 · pith_short_12: V4CH3E2N5IJ5 · pith_short_16: V4CH3E2N5IJ5M5CS · pith_short_8: V4CH3E2N

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/V4CH3E2N5IJ5M5CSCUVT5KXC3N \
  | 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: af047d934dea13d67452152b3eaae2db770509adf7ab9d29e63188e9c2f37988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14317366989ef9689351a42e233880191359d22001a8c45a18307030cdcbe24c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-11-18T21:28:02Z",
    "title_canon_sha256": "fbaeb42b36e958c3fcd84e13aa8ec8f21aa279215abc60c0a3bb0efcfcc3d816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4563",
    "kind": "arxiv",
    "version": 1
  }
}