Pith Number

pith:33J7LVDR

pith:2013:33J7LVDRVYWG74AIVRZJMNHPFY

not attested not anchored not stored refs pending

Better Approximation Bounds for the Joint Replenishment Problem

Jaroslaw Byrka, Ji\v{r}\'i Sgall, {\L}ukasz Je\.z, Marcin Bienkowski, Marek Chrobak

arxiv:1307.2531 v1 · 2013-07-09 · 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{33J7LVDRVYWG74AIVRZJMNHPFY}

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	2026-05-18T03:18:52.268793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded3f5d471ae2c6ff008ac729634ef2e269b67f5c8a4300177467e6b586997e1

Aliases

arxiv: 1307.2531 · arxiv_version: 1307.2531v1 · doi: 10.48550/arxiv.1307.2531 · pith_short_12: 33J7LVDRVYWG · pith_short_16: 33J7LVDRVYWG74AI · pith_short_8: 33J7LVDR

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/33J7LVDRVYWG74AIVRZJMNHPFY \
  | 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: ded3f5d471ae2c6ff008ac729634ef2e269b67f5c8a4300177467e6b586997e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c2e544262c44703369ce6589c2fb9578a3c776c954ecd3aa6db1f0da33658e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-07-09T18:12:15Z",
    "title_canon_sha256": "5a206f40c7eab922b2a38b8aa0dcadf6b33fbe72ab66ea6431f2a2a875b5d3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2531",
    "kind": "arxiv",
    "version": 1
  }
}