Pith Number

pith:RJAZKNMF

pith:2012:RJAZKNMFRRHS5BXA2QV4OXZUZJ

not attested not anchored not stored refs pending

Linear stability of elliptic Lagrangian solutions of the planar three-body problem via index theory

Shanzhong Sun, Xijun Hu, Yiming Long

arxiv:1206.6162 v2 · 2012-06-27 · math.DS · math-ph · math.FA · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJAZKNMFRRHS5BXA2QV4OXZUZJ}

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	2026-05-18T03:01:11.200015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a419535858c4f2e86e0d42bc75f34ca6a6e6b6eb36c3cf528422824b231c358

Aliases

arxiv: 1206.6162 · arxiv_version: 1206.6162v2 · doi: 10.48550/arxiv.1206.6162 · pith_short_12: RJAZKNMFRRHS · pith_short_16: RJAZKNMFRRHS5BXA · pith_short_8: RJAZKNMF

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/RJAZKNMFRRHS5BXA2QV4OXZUZJ \
  | 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: 8a419535858c4f2e86e0d42bc75f34ca6a6e6b6eb36c3cf528422824b231c358

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1afba34ce4510d095ae7e4f4ef3e5ac6d85c715a986e4e343d6f2cd087599fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-27T03:23:10Z",
    "title_canon_sha256": "2b3017210ab04a761c79347a54205d630c0e3390db9579e490cf141775307dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6162",
    "kind": "arxiv",
    "version": 2
  }
}