Pith Number

pith:TQTVE2XB

pith:2026:TQTVE2XBR32NZ6CFTQITHB7TTG

not attested not anchored not stored refs pending

Saturation-Aware Robust Trajectory Optimization for Reusable Launch Vehicles via Differentiable Physics

Liwei Chen, Tong Qin

arxiv:2607.09736 v1 · 2026-07-02 · cs.RO · cs.LG · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQTVE2XBR32NZ6CFTQITHB7TTG}

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	2026-07-14T00:18:32.742654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c27526ae18ef4dcf8459c113387f399bff31cb58b6575f70624a4180785d330

Aliases

arxiv: 2607.09736 · arxiv_version: 2607.09736v1 · doi: 10.48550/arxiv.2607.09736 · pith_short_12: TQTVE2XBR32N · pith_short_16: TQTVE2XBR32NZ6CF · pith_short_8: TQTVE2XB

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/TQTVE2XBR32NZ6CFTQITHB7TTG \
  | 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: 9c27526ae18ef4dcf8459c113387f399bff31cb58b6575f70624a4180785d330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a8754b09202185e7d51ac0e6a1432daeb178cca040d8ad3f379a3de90054c14",
    "cross_cats_sorted": [
      "cs.LG",
      "physics.app-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.RO",
    "submitted_at": "2026-07-02T14:30:37Z",
    "title_canon_sha256": "2930e0e2c4f280e0c5d90db5a43882a619a6f64b94ebc0cea9b9c41ce0c890cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09736",
    "kind": "arxiv",
    "version": 1
  }
}