Pith Number

pith:J4ZTHBSF

pith:2012:J4ZTHBSFEUF7N6KM7YBVCRFWUU

not attested not anchored not stored refs pending

Optimal Investment Under Transaction Costs: A Threshold Rebalanced Portfolio Approach

Sait Tunc, Suleyman S. Kozat

arxiv:1203.4156 v1 · 2012-03-19 · q-fin.PM · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4ZTHBSFEUF7N6KM7YBVCRFWUU}

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	2026-05-18T01:58:06.131555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f33338645250bf6f94cfe035144b6a509662e0517b86efc5adfc42f20f953fa

Aliases

arxiv: 1203.4156 · arxiv_version: 1203.4156v1 · doi: 10.48550/arxiv.1203.4156 · pith_short_12: J4ZTHBSFEUF7 · pith_short_16: J4ZTHBSFEUF7N6KM · pith_short_8: J4ZTHBSF

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/J4ZTHBSFEUF7N6KM7YBVCRFWUU \
  | 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: 4f33338645250bf6f94cfe035144b6a509662e0517b86efc5adfc42f20f953fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5998ced1fb6d9a167f989fad5f79c3d9a1566d8b2fa3aa175abaeab4b533c55",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2012-03-19T16:37:29Z",
    "title_canon_sha256": "25aad6caadff89d52ac47451f4ccd3f54ce4a22bbd837ee677765baffbf1e98d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4156",
    "kind": "arxiv",
    "version": 1
  }
}