Pith Number

pith:LAPPZTKD

pith:2018:LAPPZTKDYPQ3DRORBEPIMNLFSB

not attested not anchored not stored refs pending

Morse Index Theorem of Lagrangian Systems and Stability of Brake Orbit

Li Wu, Ran Yang, Xijun Hu

arxiv:1805.02018 v1 · 2018-05-05 · 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{LAPPZTKDYPQ3DRORBEPIMNLFSB}

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	2026-05-18T00:16:41.218198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

581efccd43c3e1b1c5d1091e863565904cf09bfa8488b0a91f4b2430f5dc4acb

Aliases

arxiv: 1805.02018 · arxiv_version: 1805.02018v1 · doi: 10.48550/arxiv.1805.02018 · pith_short_12: LAPPZTKDYPQ3 · pith_short_16: LAPPZTKDYPQ3DROR · pith_short_8: LAPPZTKD

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/LAPPZTKDYPQ3DRORBEPIMNLFSB \
  | 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: 581efccd43c3e1b1c5d1091e863565904cf09bfa8488b0a91f4b2430f5dc4acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f68e36f7e05fa7d5bdcba621ec527216b413634b26b7e9a1ee884c0d173889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-05T07:38:06Z",
    "title_canon_sha256": "54bedb9a87142750cc5a76eeb349f267aa86017b21918db99beee75e9d4e63a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02018",
    "kind": "arxiv",
    "version": 1
  }
}