Pith Number

pith:GPPUACJF

pith:2025:GPPUACJFQEXWT62SDPYI7OQXU2

not attested not anchored not stored refs pending

A Tax-Efficient Model Predictive Control Policy for Retirement Funding

Kasper Johansson, Stephen Boyd

arxiv:2507.10603 v1 · 2025-07-12 · math.OC · cs.CE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPPUACJFQEXWT62SDPYI7OQXU2}

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	2026-07-05T11:36:57.325617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33df400925812f69fb521bf08fba17a690fe236f83d6958ca73cc2c73963d119

Aliases

arxiv: 2507.10603 · arxiv_version: 2507.10603v1 · doi: 10.48550/arxiv.2507.10603 · pith_short_12: GPPUACJFQEXW · pith_short_16: GPPUACJFQEXWT62S · pith_short_8: GPPUACJF

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/GPPUACJFQEXWT62SDPYI7OQXU2 \
  | 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: 33df400925812f69fb521bf08fba17a690fe236f83d6958ca73cc2c73963d119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6909aa91c8e4a860582a96ad2dad05e66bc9e13e1a5944e3d871333c89f89294",
    "cross_cats_sorted": [
      "cs.CE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-12T17:26:00Z",
    "title_canon_sha256": "fb16f07745c71efb6b9ce1e048346cc2c4b02c67524a047ad567c626bef0e329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10603",
    "kind": "arxiv",
    "version": 1
  }
}