Pith Number

pith:GC3KIJKO

pith:2017:GC3KIJKO5NIKWIDGD5MBA46NE7

not attested not anchored not stored refs pending

Stable Optimal Control and Semicontractive Dynamic Programming

Dimitri P. Bertsekas

arxiv:1712.06659 v1 · 2017-12-18 · 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{GC3KIJKO5NIKWIDGD5MBA46NE7}

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	2026-05-18T00:27:40.877333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b6a4254eeb50ab20661f581073cd27d6eb744098293656a7c6d18856a99cf9

Aliases

arxiv: 1712.06659 · arxiv_version: 1712.06659v1 · doi: 10.48550/arxiv.1712.06659 · pith_short_12: GC3KIJKO5NIK · pith_short_16: GC3KIJKO5NIKWIDG · pith_short_8: GC3KIJKO

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/GC3KIJKO5NIKWIDGD5MBA46NE7 \
  | 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: 30b6a4254eeb50ab20661f581073cd27d6eb744098293656a7c6d18856a99cf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90864b460454189d3d54030be8e88c546978c86b504de0a28709908d613775e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-18T20:19:21Z",
    "title_canon_sha256": "00837b3a2dc9c6279d3997da968d00b0e3f86053abb3c2c71ff0be1b8f69f90f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06659",
    "kind": "arxiv",
    "version": 1
  }
}