Pith Number

pith:DDHQGWJT

pith:2015:DDHQGWJTHGUW63RTTPPD4NT65I

not attested not anchored not stored refs pending

Pontryagin maximum principle for optimal sampled-data control problems

Emmanuel Tr\'elat (LJLL), Lo\"ic Bourdin (XLIM-DMI)

arxiv:1512.04797 v1 · 2015-12-15 · 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{DDHQGWJTHGUW63RTTPPD4NT65I}

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	2026-05-18T01:24:15.465535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18cf03593339a96f6e339bde3e367eea1d31983f625de6664f4fc73a040968e5

Aliases

arxiv: 1512.04797 · arxiv_version: 1512.04797v1 · doi: 10.48550/arxiv.1512.04797 · pith_short_12: DDHQGWJTHGUW · pith_short_16: DDHQGWJTHGUW63RT · pith_short_8: DDHQGWJT

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/DDHQGWJTHGUW63RTTPPD4NT65I \
  | 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: 18cf03593339a96f6e339bde3e367eea1d31983f625de6664f4fc73a040968e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3756276912038c4bb848a9ce6e8e6261a0d8251afdcb9e6923d850d0748479",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-15T14:31:13Z",
    "title_canon_sha256": "a378f308864e07fcde7df30f3b790235ff91a3ffae074541052c5881ba6dc1dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04797",
    "kind": "arxiv",
    "version": 1
  }
}