Pith Number

pith:FAOEAQQZ

pith:2024:FAOEAQQZTSCEOU3XITMMGUIW3J

not attested not anchored not stored refs pending

On the finiteness issue of four-body balanced configurations in the plane

Lei Zhao, Yuchen Wang

arxiv:2412.17639 v1 · 2024-12-23 · math.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{FAOEAQQZTSCEOU3XITMMGUIW3J}

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	2026-07-05T09:53:25.374932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

281c4042199c8447537744d8c35116da42087194e54d9446fe1e094ea14dd018

Aliases

arxiv: 2412.17639 · arxiv_version: 2412.17639v1 · doi: 10.48550/arxiv.2412.17639 · pith_short_12: FAOEAQQZTSCE · pith_short_16: FAOEAQQZTSCEOU3X · pith_short_8: FAOEAQQZ

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/FAOEAQQZTSCEOU3XITMMGUIW3J \
  | 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: 281c4042199c8447537744d8c35116da42087194e54d9446fe1e094ea14dd018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "858731cabe14b3d0d6ae1d807f5d569960a84989078fb56ad129623307d5730c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-12-23T15:15:03Z",
    "title_canon_sha256": "cf816844f886f2b255783cd810aa9c2b7b00df2a889185f8e4981d03bd02549e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17639",
    "kind": "arxiv",
    "version": 1
  }
}