Pith Number

pith:3ZA3RCNC

pith:2019:3ZA3RCNCLFUXKB5KUMNWAS5GNU

not attested not anchored not stored refs pending

Pontryagin Differentiable Programming: An End-to-End Learning and Control Framework

Shaoshuai Mou, Wanxin Jin, Zhaoran Wang, Zhuoran Yang

arxiv:1912.12970 v5 · 2019-12-30 · cs.LG · cs.RO · cs.SY · eess.SY · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZA3RCNCLFUXKB5KUMNWAS5GNU}

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	2026-07-05T02:06:06.112288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de41b889a259697507aaa31b604ba66d1fca8b56f9d104dcac7e3edec7dc7f30

Aliases

arxiv: 1912.12970 · arxiv_version: 1912.12970v5 · doi: 10.48550/arxiv.1912.12970 · pith_short_12: 3ZA3RCNCLFUX · pith_short_16: 3ZA3RCNCLFUXKB5K · pith_short_8: 3ZA3RCNC

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/3ZA3RCNCLFUXKB5KUMNWAS5GNU \
  | 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: de41b889a259697507aaa31b604ba66d1fca8b56f9d104dcac7e3edec7dc7f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec116e6d49017f1d093e538f287ddb426091731b4b5a464ad6a5f0388c49c879",
    "cross_cats_sorted": [
      "cs.RO",
      "cs.SY",
      "eess.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-12-30T15:35:43Z",
    "title_canon_sha256": "4d73e5a01e184b98c736d27f25b5f5e491378b0dd7d18c645ae7fdccfe2f8682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12970",
    "kind": "arxiv",
    "version": 5
  }
}