Pith Number

pith:C465ONTV

pith:2026:C465ONTVLXT2ZLHS4IRVW6ICXT

not attested not anchored not stored refs pending

Concave Kite Central Configurations in the Planar Four-Body Problem with Three Equal Masses

Yangshanshan Liu, Zhifu Xie

arxiv:2606.19596 v1 · 2026-06-17 · math.DS · 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{C465ONTVLXT2ZLHS4IRVW6ICXT}

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	2026-06-19T16:12:29.760468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

173dd736755de7acacf2e2235b7902bccd4807d99c76cf29d79a5ebdf81882aa

Aliases

arxiv: 2606.19596 · arxiv_version: 2606.19596v1 · doi: 10.48550/arxiv.2606.19596 · pith_short_12: C465ONTVLXT2 · pith_short_16: C465ONTVLXT2ZLHS · pith_short_8: C465ONTV

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/C465ONTVLXT2ZLHS4IRVW6ICXT \
  | 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: 173dd736755de7acacf2e2235b7902bccd4807d99c76cf29d79a5ebdf81882aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ca7d8906672cce411d198923f096825f3b135d78cc4bca43ef576ad18229f56",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-17T21:00:44Z",
    "title_canon_sha256": "0b55a7cf23860d79fce356864eed0163c79c6714d0d44949eab60f6c183f0714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19596",
    "kind": "arxiv",
    "version": 1
  }
}