Pith Number

pith:4K2QCV4G

pith:2015:4K2QCV4GAI5FSG6W26G4OG5QI4

not attested not anchored not stored refs pending

Two-Level Rectilinear Steiner Trees

Nicolas K\"ammerling, Stephan Held

arxiv:1501.00933 v2 · 2015-01-05 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4K2QCV4GAI5FSG6W26G4OG5QI4}

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	2026-05-18T02:19:07.873846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b5015786023a591bd6d78dc71bb04708558e86f40572ad73a7586b4e1e4832

Aliases

arxiv: 1501.00933 · arxiv_version: 1501.00933v2 · doi: 10.48550/arxiv.1501.00933 · pith_short_12: 4K2QCV4GAI5F · pith_short_16: 4K2QCV4GAI5FSG6W · pith_short_8: 4K2QCV4G

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/4K2QCV4GAI5FSG6W26G4OG5QI4 \
  | 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: e2b5015786023a591bd6d78dc71bb04708558e86f40572ad73a7586b4e1e4832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba66e8380125c71a7df48e3d84101434eecc635b4e469e33c2513d412698f26d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-01-05T17:39:34Z",
    "title_canon_sha256": "aee8ab5ec2afabb4e15ce481d2b43b3310d49bcfbe01ec1965d27a4aa9cbc7e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00933",
    "kind": "arxiv",
    "version": 2
  }
}