Pith Number

pith:BKHGMJII

pith:2015:BKHGMJIIAXM6YPCA2VOV6V22XB

not attested not anchored not stored refs pending

Existence of a lower bound for the distance between point masses of relative equilibria for generalised quasi-homogeneous $n$-body problems and the curved $n$-body problem

Pieter Tibboel

arxiv:1503.02145 v1 · 2015-03-07 · 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{BKHGMJIIAXM6YPCA2VOV6V22XB}

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	2026-05-18T01:40:52.995755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a8e66250805d9ec3c40d55d5f575ab8466cc22608fd17126c328e8586bafb94

Aliases

arxiv: 1503.02145 · arxiv_version: 1503.02145v1 · doi: 10.48550/arxiv.1503.02145 · pith_short_12: BKHGMJIIAXM6 · pith_short_16: BKHGMJIIAXM6YPCA · pith_short_8: BKHGMJII

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/BKHGMJIIAXM6YPCA2VOV6V22XB \
  | 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: 0a8e66250805d9ec3c40d55d5f575ab8466cc22608fd17126c328e8586bafb94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25773647e86e9f162afd60d1b5f7b42a92e740a7459c7e71364b73b1e2f8b127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-07T09:09:10Z",
    "title_canon_sha256": "6c386622d3a89903f55f21cf8da4658f4ef10559028a1f91672995aaeee40a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02145",
    "kind": "arxiv",
    "version": 1
  }
}