Pith Number

pith:HMKKEJ6A

pith:2025:HMKKEJ6AT64NTXUBJU5HOMB47F

not attested not anchored not stored refs pending

Uniqueness of star central configurations in the $5$-body problem

Leasly A. Campa-Raymundo, Luis Franco-P\'erez

arxiv:2505.16101 v1 · 2025-05-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMKKEJ6AT64NTXUBJU5HOMB47F}

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	2026-07-05T11:07:29.956190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b14a227c09fb8d9de814d3a77303cf97e39dc1af5fb70a20e4289162d22760f

Aliases

arxiv: 2505.16101 · arxiv_version: 2505.16101v1 · doi: 10.48550/arxiv.2505.16101 · pith_short_12: HMKKEJ6AT64N · pith_short_16: HMKKEJ6AT64NTXUB · pith_short_8: HMKKEJ6A

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/HMKKEJ6AT64NTXUBJU5HOMB47F \
  | 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: 3b14a227c09fb8d9de814d3a77303cf97e39dc1af5fb70a20e4289162d22760f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b203c703bbe27adb1eae3e3e2b6583ff53dd33ac03edfc1a4b6985462cdd1b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-05-22T01:02:44Z",
    "title_canon_sha256": "6cbb1138a8a2d7eb6e98a7a5cbad22686bff032afe904218e299745e1659c482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16101",
    "kind": "arxiv",
    "version": 1
  }
}