pith. sign in
Pith Number

pith:L4D5SANA

pith:2016:L4D5SANAUTJ7D3ZOFJPNCSP63D
not attested not anchored not stored refs pending

Trainyard is NP-Hard

Alessandro Panconesi, Matteo Almanza, Stefano Leucci

arxiv:1603.00928 v1 · 2016-03-02 · cs.CC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L4D5SANAUTJ7D3ZOFJPNCSP63D}

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 2026-05-18T01:19:40.068876Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5f07d901a0a4d3f1ef2e2a5ed149fed8eba5bfa153033e325d7c3c4ac094623b

Aliases

arxiv: 1603.00928 · arxiv_version: 1603.00928v1 · doi: 10.48550/arxiv.1603.00928 · pith_short_12: L4D5SANAUTJ7 · pith_short_16: L4D5SANAUTJ7D3ZO · pith_short_8: L4D5SANA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L4D5SANAUTJ7D3ZOFJPNCSP63D \
  | 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: 5f07d901a0a4d3f1ef2e2a5ed149fed8eba5bfa153033e325d7c3c4ac094623b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "db464a2fe0573a9d0f1a4a12ac64a87593e32adb5b7eeb5c204d2275b64c90c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-03-02T23:32:33Z",
    "title_canon_sha256": "d26927f973b1791b2a46fcfaee1e3617421cfe87427f8be5fe8b5ad3c876376b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00928",
    "kind": "arxiv",
    "version": 1
  }
}