Pith Number

pith:OJWCRHYY

pith:2018:OJWCRHYY52LZYFVUIBZQRSNVPT

not attested not anchored not stored refs pending

Addendum to Pontryagin's maximum principle for dynamic systems on time scales

Emmanuel Tr\'elat, Lo\"ic Bourdin, Oleksandr Stanzhytskyi

arxiv:1803.02814 v1 · 2018-03-07 · 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{OJWCRHYY52LZYFVUIBZQRSNVPT}

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	2026-05-18T00:21:49.169457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

726c289f18ee979c16b4407308c9b57cebdccc88b5b534d953e7e75db4e90934

Aliases

arxiv: 1803.02814 · arxiv_version: 1803.02814v1 · doi: 10.48550/arxiv.1803.02814 · pith_short_12: OJWCRHYY52LZ · pith_short_16: OJWCRHYY52LZYFVU · pith_short_8: OJWCRHYY

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/OJWCRHYY52LZYFVUIBZQRSNVPT \
  | 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: 726c289f18ee979c16b4407308c9b57cebdccc88b5b534d953e7e75db4e90934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a262dc45c41e8b654294e1f1e5b7dd3f8e26cd24d3b546c41ff031504a78095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-07T18:47:43Z",
    "title_canon_sha256": "00e39015856fb5030e9d5676468b025a8e908a060d6553d3dd107a2c068dd123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02814",
    "kind": "arxiv",
    "version": 1
  }
}