Pith Number

pith:4P6QBBMW

pith:2026:4P6QBBMWOWGZQXWS7A244OFTF4

not attested not anchored not stored refs pending

Improved Lower Bounds and Output Augmentation for Facility Location Mechanisms

Guido Sch\"afer, Jens Schl\"oter, Rafael Gomes, Sophie Klumper

arxiv:2607.20196 v1 · 2026-07-22 · cs.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4P6QBBMWOWGZQXWS7A244OFTF4}

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	2026-07-23T01:25:07.188175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3fd008596758d985ed2f835ce38b32f1af5101bef26119d148f6bebeb41497f

Aliases

arxiv: 2607.20196 · arxiv_version: 2607.20196v1 · doi: 10.48550/arxiv.2607.20196 · pith_short_12: 4P6QBBMWOWGZ · pith_short_16: 4P6QBBMWOWGZQXWS · pith_short_8: 4P6QBBMW

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/4P6QBBMWOWGZQXWS7A244OFTF4 \
  | 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: e3fd008596758d985ed2f835ce38b32f1af5101bef26119d148f6bebeb41497f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1407ac5eca8a67deaef3a7b2fcff113c095b11abac5f9c5d2d4f2914fd19721",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-07-22T14:20:26Z",
    "title_canon_sha256": "502814173e86adc9a8afa821d55c1069cdb8c1b2af5778f4ded8ef4bf7825ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20196",
    "kind": "arxiv",
    "version": 1
  }
}