Pith Number

pith:6ZIEWTSN

pith:2017:6ZIEWTSNPOCENCWAVPPRINB6V3

not attested not anchored not stored refs pending

Packing Plane Spanning Trees and Paths in Complete Geometric Graphs

Alexander Pilz, Bettina Speckmann, Emo Welzl, Maarten L\"offler, Marc van Kreveld, Matias Korman, Oswin Aichholzer, Thomas Hackl

arxiv:1707.05440 v1 · 2017-07-18 · 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{6ZIEWTSNPOCENCWAVPPRINB6V3}

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	2026-05-18T00:40:02.338461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6504b4e4d7b84468ac0abdf14343eaeff02e6c0f50ce335cf59c589ff70c362

Aliases

arxiv: 1707.05440 · arxiv_version: 1707.05440v1 · doi: 10.48550/arxiv.1707.05440 · pith_short_12: 6ZIEWTSNPOCE · pith_short_16: 6ZIEWTSNPOCENCWA · pith_short_8: 6ZIEWTSN

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/6ZIEWTSNPOCENCWAVPPRINB6V3 \
  | 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: f6504b4e4d7b84468ac0abdf14343eaeff02e6c0f50ce335cf59c589ff70c362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0356ccae22a7212792b64bfeffa69ec857a32d59295faaa76a75b5a8e205f648",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2017-07-18T02:22:08Z",
    "title_canon_sha256": "6ede0f4ea885546c953063def2ce691213707dc4496be0c0417d47844f0d918d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05440",
    "kind": "arxiv",
    "version": 1
  }
}