Pith Number

pith:UZ4MYWHB

pith:2026:UZ4MYWHBSRB7VHYFFQXYOEVZBQ

not attested not anchored not stored refs pending

On topological indices of random caterpillar graphs

Florian Lesny, Markus Schmieder, Ralph Neininger

arxiv:2606.09228 v1 · 2026-06-08 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZ4MYWHBSRB7VHYFFQXYOEVZBQ}

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	2026-06-09T02:08:08.612687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a678cc58e19443fa9f052c2f8712b90c016a796c4dcd6d6b2b8d272133f5e8a6

Aliases

arxiv: 2606.09228 · arxiv_version: 2606.09228v1 · doi: 10.48550/arxiv.2606.09228 · pith_short_12: UZ4MYWHBSRB7 · pith_short_16: UZ4MYWHBSRB7VHYF · pith_short_8: UZ4MYWHB

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/UZ4MYWHBSRB7VHYFFQXYOEVZBQ \
  | 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: a678cc58e19443fa9f052c2f8712b90c016a796c4dcd6d6b2b8d272133f5e8a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8df670464e4cfaa24d83fb738cdb2b7bfd8640ba0ded22fe63c3b5ab356d4601",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-08T09:03:01Z",
    "title_canon_sha256": "997132b9f131d61b0419a1a3c3652966153cd0d139313eeee97be4a610f680af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09228",
    "kind": "arxiv",
    "version": 1
  }
}