Pith Number

pith:CBCDDRFX

pith:2016:CBCDDRFXQ6RWHTKDJEQNOETWKT

not attested not anchored not stored refs pending

Exact solutions for optimal execution of portfolios transactions and the Riccati equation

Jorge Bautista, Juan M. Romero

arxiv:1601.07961 v1 · 2016-01-29 · q-fin.MF · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBCDDRFXQ6RWHTKDJEQNOETWKT}

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	2026-05-18T01:21:41.405993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

104431c4b787a363cd434920d7127654fa3d832e41c198b2e13472b3349be706

Aliases

arxiv: 1601.07961 · arxiv_version: 1601.07961v1 · doi: 10.48550/arxiv.1601.07961 · pith_short_12: CBCDDRFXQ6RW · pith_short_16: CBCDDRFXQ6RWHTKD · pith_short_8: CBCDDRFX

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/CBCDDRFXQ6RWHTKDJEQNOETWKT \
  | 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: 104431c4b787a363cd434920d7127654fa3d832e41c198b2e13472b3349be706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6514a830219e04cd53544b3b69510cc14dc35fa68422f4497675d64a9237df9b",
    "cross_cats_sorted": [
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-01-29T01:47:20Z",
    "title_canon_sha256": "e4450c849299ef5f810b90e6f1e3d899fff56d0f48716fcd5573aa4fcf33274d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07961",
    "kind": "arxiv",
    "version": 1
  }
}