Pith Number

pith:O4F6ZXB3

pith:2014:O4F6ZXB3AVXDFEUHQ2WLXTZNPZ

not attested not anchored not stored refs pending

Morse index and linear stability of the Lagrangian circular orbit in a three-body-type problem via index theory

Alessandro Portaluri, Riccardo D. Jadanza, Vivina Barutello

arxiv:1406.3519 v3 · 2014-06-13 · 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{O4F6ZXB3AVXDFEUHQ2WLXTZNPZ}

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	2026-05-18T01:22:03.454038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

770becdc3b056e32928786acbbcf2d7e4929c4c909535fce7c20bd1f23a04fe8

Aliases

arxiv: 1406.3519 · arxiv_version: 1406.3519v3 · doi: 10.48550/arxiv.1406.3519 · pith_short_12: O4F6ZXB3AVXD · pith_short_16: O4F6ZXB3AVXDFEUH · pith_short_8: O4F6ZXB3

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/O4F6ZXB3AVXDFEUHQ2WLXTZNPZ \
  | 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: 770becdc3b056e32928786acbbcf2d7e4929c4c909535fce7c20bd1f23a04fe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6144371683b1056bfdd93548eb53ba542265573e3441a9f230bc92690131235d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-06-13T12:37:00Z",
    "title_canon_sha256": "a56355ae5fa80a2d7fe576432d0fdf40b6a4f6d37a4d6ee589ea360da367d4fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3519",
    "kind": "arxiv",
    "version": 3
  }
}