Pith Number

pith:5QPVLQRF

pith:2020:5QPVLQRFT3O3YUXTMZAKWHVFFJ

not attested not anchored not stored refs pending

Using a geometric lens to find k disjoint shortest paths

Andr\'e Nichterlein, Malte Renken, Matthias Bentert, Philipp Zschoche

arxiv:2007.12502 v2 · 2020-07-24 · math.CO · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QPVLQRFT3O3YUXTMZAKWHVFFJ}

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	2026-07-05T04:19:21.394304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec1f55c2259eddbc52f36640ab1ea52a58e2c344e999fb9244a2d303b980b9f5

Aliases

arxiv: 2007.12502 · arxiv_version: 2007.12502v2 · doi: 10.48550/arxiv.2007.12502 · pith_short_12: 5QPVLQRFT3O3 · pith_short_16: 5QPVLQRFT3O3YUXT · pith_short_8: 5QPVLQRF

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/5QPVLQRFT3O3YUXTMZAKWHVFFJ \
  | 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: ec1f55c2259eddbc52f36640ab1ea52a58e2c344e999fb9244a2d303b980b9f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2192d5fa0ef7612348ff7f609cd42c81f06ca66a91544d380585226dc520a59b",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-24T12:38:59Z",
    "title_canon_sha256": "ef909acf1d1a71ac0ffa750803f8439a67634319eaa3dae9c9c128615dd40bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.12502",
    "kind": "arxiv",
    "version": 2
  }
}