Pith Number

pith:ZXJADF2D

pith:2026:ZXJADF2DNLRZHHTKV55PE47XSP

not attested not anchored not stored refs pending

School network reorganization under educational and spatial constraints using classical and quantum optimization

Alessia Ciacco, Francesca Guerriero, Luigi Di Puglia Pugliese

arxiv:2608.05427 v1 · 2026-08-05 · cs.CY · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXJADF2DNLRZHHTKV55PE47XSP}

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	2026-08-07T00:47:50.899982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd20197436ae3939e6aaf7af273f793ef4ba05f4c6b7128a5770054384768c6

Aliases

arxiv: 2608.05427 · arxiv_version: 2608.05427v1 · doi: 10.48550/arxiv.2608.05427 · pith_short_12: ZXJADF2DNLRZ · pith_short_16: ZXJADF2DNLRZHHTK · pith_short_8: ZXJADF2D

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/ZXJADF2DNLRZHHTKV55PE47XSP \
  | 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: cdd20197436ae3939e6aaf7af273f793ef4ba05f4c6b7128a5770054384768c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592cea5263e9dd82de54dbbcfc90db19e6feb6c8e3e97d9c106039a01889079f",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CY",
    "submitted_at": "2026-08-05T21:42:17Z",
    "title_canon_sha256": "7760acf2a4afba9799dc78a7c31bc957a5ceeb9b062ac230a9a7061ca9ab308d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05427",
    "kind": "arxiv",
    "version": 1
  }
}