Pith Number

pith:JFWAVOV5

pith:2026:JFWAVOV5FZECYTY4AT7JEQ3JJ5

not attested not anchored not stored refs pending

Optimal Bounds for the k-Disjoint Paths Problem

Dario Cavallaro, Dimitrios M. Thilikos, Maximilian Gorsky, Sebastian Wiederrecht, Stephan Kreutzer

arxiv:2605.14902 v1 · 2026-05-14 · math.CO · cs.DM · 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{JFWAVOV5FZECYTY4AT7JEQ3JJ5}

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	2026-05-17T23:38:55.845922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

496c0ababd2e482c4f1c04fe9243694f72acf186b003d99bfeb68096225e6fb3

Aliases

arxiv: 2605.14902 · arxiv_version: 2605.14902v1 · doi: 10.48550/arxiv.2605.14902 · pith_short_12: JFWAVOV5FZEC · pith_short_16: JFWAVOV5FZECYTY4 · pith_short_8: JFWAVOV5

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/JFWAVOV5FZECYTY4AT7JEQ3JJ5 \
  | 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: 496c0ababd2e482c4f1c04fe9243694f72acf186b003d99bfeb68096225e6fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dcc84423f0fb47e079146fde560dfea9f7c0436889d6f1b8dd20f0f09f6154e",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-14T14:40:16Z",
    "title_canon_sha256": "0dca85ea299f3aa0a5529a204a7bf682c5dcea2a3fe315ce7c6821c7674ca00d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14902",
    "kind": "arxiv",
    "version": 1
  }
}