Pith Number

pith:I3IGE7KN

pith:2026:I3IGE7KNW7GRDNWEPBVH74E2YU

not attested not anchored not stored refs pending

Optimality-Informed Neural Networks for Lunar Landing Trajectory Optimization

Zhenbo Wang

arxiv:2607.02741 v1 · 2026-07-02 · math.OC · cs.LG · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3IGE7KNW7GRDNWEPBVH74E2YU}

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	2026-07-07T00:16:11.514383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46d0627d4db7cd11b6c4786a7ff09ac51eb0831b63354cfb05119fe514e920b4

Aliases

arxiv: 2607.02741 · arxiv_version: 2607.02741v1 · doi: 10.48550/arxiv.2607.02741 · pith_short_12: I3IGE7KNW7GR · pith_short_16: I3IGE7KNW7GRDNWE · pith_short_8: I3IGE7KN

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/I3IGE7KNW7GRDNWEPBVH74E2YU \
  | 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: 46d0627d4db7cd11b6c4786a7ff09ac51eb0831b63354cfb05119fe514e920b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b551f85c8774c531d38e9ff78b5826933f9ccde4165896a64e851a29458aa94e",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-02T20:23:45Z",
    "title_canon_sha256": "af70d00603ed742f630aa4460492fbe47b31a46f558dfa586e261a49979758b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02741",
    "kind": "arxiv",
    "version": 1
  }
}