Pith Number

pith:YNSHS7BZ

pith:2018:YNSHS7BZ3NHKJQXJKXTUJB7AXQ

not attested not anchored not stored refs pending

A simple proof of the discrete time geometric Pontryagin maximum principle on smooth manifolds

Debasish Chatterjee, Mishal Assif P K, Ravi Banavar

arxiv:1807.00698 v3 · 2018-06-29 · math.OC · cs.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{YNSHS7BZ3NHKJQXJKXTUJB7AXQ}

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	2026-05-17T23:44:22.598086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c364797c39db4ea4c2e955e74487e0bc033d4b31dd0a9a177e9db99509aabe4c

Aliases

arxiv: 1807.00698 · arxiv_version: 1807.00698v3 · doi: 10.48550/arxiv.1807.00698 · pith_short_12: YNSHS7BZ3NHK · pith_short_16: YNSHS7BZ3NHKJQXJ · pith_short_8: YNSHS7BZ

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/YNSHS7BZ3NHKJQXJKXTUJB7AXQ \
  | 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: c364797c39db4ea4c2e955e74487e0bc033d4b31dd0a9a177e9db99509aabe4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db883e4c05480a8eed56e389de9588524b209cbcfcd6b2b1a29c886565f20faa",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-29T16:04:20Z",
    "title_canon_sha256": "b8157f5fb8a68d555a5d49f510979b7d66ada89694ad3d3366d1adaeeceb2855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00698",
    "kind": "arxiv",
    "version": 3
  }
}