Pith Number

pith:POB7MJCB

pith:2026:POB7MJCBKMN24BXU47NN4OWIOA

not attested not anchored not stored refs pending

Neural operator learning for collision-aware trajectory planning of spacecraft swarms

Rongjie Lai, Shaoshuai Mou, Sidhdharth D. Sikka, Suyi Gao, Zehui Lu

arxiv:2608.00320 v1 · 2026-07-31 · cs.LG · cs.MA · 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{POB7MJCBKMN24BXU47NN4OWIOA}

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	2026-08-04T00:35:03.990543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b83f62441531bae06f4e7dade3ac8702918b16809c406dacdebb81dff814d57

Aliases

arxiv: 2608.00320 · arxiv_version: 2608.00320v1 · doi: 10.48550/arxiv.2608.00320 · pith_short_12: POB7MJCBKMN2 · pith_short_16: POB7MJCBKMN24BXU · pith_short_8: POB7MJCB

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/POB7MJCBKMN24BXU47NN4OWIOA \
  | 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: 7b83f62441531bae06f4e7dade3ac8702918b16809c406dacdebb81dff814d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5034551f0bcb92ecbd19b6d217739cf18e7cf04f7f8f04874da8824fbe002a9",
    "cross_cats_sorted": [
      "cs.MA",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-31T22:10:47Z",
    "title_canon_sha256": "3d2c354815780640293afa0756897a3d87ff04aa2d695d6d661cb1bde79da9fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00320",
    "kind": "arxiv",
    "version": 1
  }
}