Pith Number

pith:SZ3PLDWD

pith:2025:SZ3PLDWDWBCFSVZTLEXBREKG6L

not attested not anchored not stored refs pending

Spanning trees of bounded degree in random geometric graphs

Dawid Ignasiak, Lyuben Lichev, Michael Anastos, Sahar Diskin, Yetong Sha

arxiv:2505.16818 v1 · 2025-05-22 · math.CO · math.MG · 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{SZ3PLDWDWBCFSVZTLEXBREKG6L}

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.

Cited by

1 paper in Pith

Universality in random graphs via optimal linking systems: trees and beyond

Receipt and verification

First computed	2026-07-05T11:07:41.733766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9676f58ec3b044595733592e189146f2d91d10027974ff8181e2e316cd8d0128

Aliases

arxiv: 2505.16818 · arxiv_version: 2505.16818v1 · doi: 10.48550/arxiv.2505.16818 · pith_short_12: SZ3PLDWDWBCF · pith_short_16: SZ3PLDWDWBCFSVZT · pith_short_8: SZ3PLDWD

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/SZ3PLDWDWBCFSVZTLEXBREKG6L \
  | 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: 9676f58ec3b044595733592e189146f2d91d10027974ff8181e2e316cd8d0128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea199836acc0dfec04eca97d4d3b3c219ec84b0506f09668cd454945614b15c1",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-22T15:54:17Z",
    "title_canon_sha256": "489352db093d766d0c7b715d97a65967bcc4a11a624d4083a44c41090dc61456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16818",
    "kind": "arxiv",
    "version": 1
  }
}