Pith Number

pith:64X4KMJI

pith:2017:64X4KMJIG6MFGHOEUSS3GD2M4R

not attested not anchored not stored refs pending

Taylor Expansions of the Value Function Associated with a Bilinear Optimal Control Problem

Karl Kunisch, Laurent Pfeiffer, Tobias Breiten

arxiv:1706.05341 v1 · 2017-06-16 · 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{64X4KMJIG6MFGHOEUSS3GD2M4R}

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	2026-05-18T00:42:14.042098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72fc531283798531dc4a4a5b30f4ce459efda38568297d2564ef344533c06ac

Aliases

arxiv: 1706.05341 · arxiv_version: 1706.05341v1 · doi: 10.48550/arxiv.1706.05341 · pith_short_12: 64X4KMJIG6MF · pith_short_16: 64X4KMJIG6MFGHOE · pith_short_8: 64X4KMJI

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/64X4KMJIG6MFGHOEUSS3GD2M4R \
  | 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: f72fc531283798531dc4a4a5b30f4ce459efda38568297d2564ef344533c06ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891378e69b449ab5ce8d7207af2266bf446d43245bbd441e8dc4085b654525a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-06-16T16:39:33Z",
    "title_canon_sha256": "31b301b3f42d918f0ce1297b805ad8f6a5843dcd55d3d473d4d4b0a6763b941d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05341",
    "kind": "arxiv",
    "version": 1
  }
}