Pith Number

pith:QFUCRJYP

pith:2013:QFUCRJYP6GVGT6HXVN3SWTN4CA

not attested not anchored not stored refs pending

Exponential lower bounds on the size of approximate formulations in the natural encoding for Capacitated Facility Location

Stavros G. Kolliopoulos, Yannis Moysoglou

arxiv:1312.1819 v1 · 2013-12-06 · 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{QFUCRJYP6GVGT6HXVN3SWTN4CA}

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	2026-05-18T03:05:19.677862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

816828a70ff1aa69f8f7ab772b4dbc10367e26e6b82414a918cecb024b9e4d0f

Aliases

arxiv: 1312.1819 · arxiv_version: 1312.1819v1 · doi: 10.48550/arxiv.1312.1819 · pith_short_12: QFUCRJYP6GVG · pith_short_16: QFUCRJYP6GVGT6HX · pith_short_8: QFUCRJYP

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/QFUCRJYP6GVGT6HXVN3SWTN4CA \
  | 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: 816828a70ff1aa69f8f7ab772b4dbc10367e26e6b82414a918cecb024b9e4d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "934ceb5cc61d9c54f9855182288fe811d22a8d736cd3361fcf92c94cd93ce4de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-12-06T10:06:20Z",
    "title_canon_sha256": "16e85777ee7be0de3c0a716f18975282f290c03bfab7a0a036d274febe86f89f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1819",
    "kind": "arxiv",
    "version": 1
  }
}