Pith Number

pith:TA5H6MOX

pith:2014:TA5H6MOX4JCUPSMN2CFQDNTNVJ

not attested not anchored not stored refs pending

Duality Theory for Portfolio Optimisation under Transaction Costs

Christoph Czichowsky, Walter Schachermayer

arxiv:1408.5989 v1 · 2014-08-26 · 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{TA5H6MOX4JCUPSMN2CFQDNTNVJ}

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	2026-05-18T02:44:15.262371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

983a7f31d7e24547c98dd08b01b66daa6927b6616bc79bd1a6ea887d2923c772

Aliases

arxiv: 1408.5989 · arxiv_version: 1408.5989v1 · doi: 10.48550/arxiv.1408.5989 · pith_short_12: TA5H6MOX4JCU · pith_short_16: TA5H6MOX4JCUPSMN · pith_short_8: TA5H6MOX

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/TA5H6MOX4JCUPSMN2CFQDNTNVJ \
  | 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: 983a7f31d7e24547c98dd08b01b66daa6927b6616bc79bd1a6ea887d2923c772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30ba6a14a6630322106f739f2050fb2b74740db5b8baddc1075edde163142f53",
    "cross_cats_sorted": [
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2014-08-26T02:57:42Z",
    "title_canon_sha256": "5b10cb120e67e6ac309b9dd3d04d146927476566906476941af22930b3634474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5989",
    "kind": "arxiv",
    "version": 1
  }
}