pith. sign in
Pith Number

pith:S3TFF5ZG

pith:2018:S3TFF5ZGBTGAQDKONDRJ2RV2YZ
not attested not anchored not stored refs pending

Planar Steiner Orientation is NP-complete

Andre L\"offler, Johannes Blum, Johannes Zink, Moritz Beck, Myroslav Kryven

arxiv:1804.07496 v1 · 2018-04-20 · cs.DM · cs.CC · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{S3TFF5ZGBTGAQDKONDRJ2RV2YZ}

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 2026-05-18T00:17:58.633941Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

96e652f7260ccc080d4e68e29d46bac649c31e2a13e9220d0bdb65252b1d14f8

Aliases

arxiv: 1804.07496 · arxiv_version: 1804.07496v1 · doi: 10.48550/arxiv.1804.07496 · pith_short_12: S3TFF5ZGBTGA · pith_short_16: S3TFF5ZGBTGAQDKO · pith_short_8: S3TFF5ZG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/S3TFF5ZGBTGAQDKONDRJ2RV2YZ \
  | 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: 96e652f7260ccc080d4e68e29d46bac649c31e2a13e9220d0bdb65252b1d14f8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d7eb73edb9e7bb3aa9ae8a41816c4d3fb26a6e58ac0be8ab73405b150a8187fb",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-04-20T08:57:39Z",
    "title_canon_sha256": "9e16ab408f9247274b577c902b4598684383f2606b4c1763afb1cf303f58c528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07496",
    "kind": "arxiv",
    "version": 1
  }
}