Pith Number

pith:WBB4BBN5

pith:2013:WBB4BBN5TTL6WZPCOXMGPSGEEX

not attested not anchored not stored refs pending

Saari's Conjecture for Elliptical Type $N$-Body Problem and An Application

Shiqing Zhang, Xiang Yu

arxiv:1308.2376 v2 · 2013-08-11 · 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{WBB4BBN5TTL6WZPCOXMGPSGEEX}

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	2026-05-18T03:06:54.592448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b043c085bd9cd7eb65e275d867c8c425f16e79302f19e74f6d7497ccff062e89

Aliases

arxiv: 1308.2376 · arxiv_version: 1308.2376v2 · doi: 10.48550/arxiv.1308.2376 · pith_short_12: WBB4BBN5TTL6 · pith_short_16: WBB4BBN5TTL6WZPC · pith_short_8: WBB4BBN5

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/WBB4BBN5TTL6WZPCOXMGPSGEEX \
  | 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: b043c085bd9cd7eb65e275d867c8c425f16e79302f19e74f6d7497ccff062e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc0b47b480ebc259fd065808eab0962896963387604ae1e51663e1536140c42c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-11T08:49:26Z",
    "title_canon_sha256": "45a32115dbe206fd7c5b3fcf764ecfb0cafe9bbae4fe639038a7b2de947b47b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2376",
    "kind": "arxiv",
    "version": 2
  }
}