Pith Number

pith:B7NVV2OL

pith:2018:B7NVV2OLCSB3IDYEFR2FH3SKR2

not attested not anchored not stored refs pending

Exact value for the average optimal cost of bipartite traveling-salesman and 2-factor problems in two dimensions

Andrea Di Gioacchino, Enrico M. Malatesta, Riccardo Capelli, Sergio Caracciolo

arxiv:1807.03559 v2 · 2018-07-10 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7NVV2OLCSB3IDYEFR2FH3SKR2}

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	2026-05-18T00:04:16.639071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fdb5ae9cb1483b40f042c7453ee4a8ea34395c9054376a52134ceed9949f1aa

Aliases

arxiv: 1807.03559 · arxiv_version: 1807.03559v2 · doi: 10.48550/arxiv.1807.03559 · pith_short_12: B7NVV2OLCSB3 · pith_short_16: B7NVV2OLCSB3IDYE · pith_short_8: B7NVV2OL

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/B7NVV2OLCSB3IDYEFR2FH3SKR2 \
  | 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: 0fdb5ae9cb1483b40f042c7453ee4a8ea34395c9054376a52134ceed9949f1aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305d8ea035c9a454d8e92c0af0cefe1b0a843c6f8d7f5e0f5eb31ee4ba05a060",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2018-07-10T10:17:16Z",
    "title_canon_sha256": "b20251b70e37af88d8a16d23a062eedede9153cc0b891c008975e50796981b5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03559",
    "kind": "arxiv",
    "version": 2
  }
}