Pith Number

pith:QLIJ2LJ5

pith:2012:QLIJ2LJ5JORWSEQFNZIPADE5PW

not attested not anchored not stored refs pending

Portfolio Choice with Transaction Costs: a User's Guide

Johannes Muhle-Karbe, Paolo Guasoni

arxiv:1207.7330 v1 · 2012-07-31 · q-fin.PM · 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{QLIJ2LJ5JORWSEQFNZIPADE5PW}

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	2026-05-18T03:49:46.142487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82d09d2d3d4ba36912056e50f00c9d7db09b5f2e54ad972e4e890c75ebb8dacb

Aliases

arxiv: 1207.7330 · arxiv_version: 1207.7330v1 · doi: 10.48550/arxiv.1207.7330 · pith_short_12: QLIJ2LJ5JORW · pith_short_16: QLIJ2LJ5JORWSEQF · pith_short_8: QLIJ2LJ5

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/QLIJ2LJ5JORWSEQFNZIPADE5PW \
  | 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: 82d09d2d3d4ba36912056e50f00c9d7db09b5f2e54ad972e4e890c75ebb8dacb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e2c39a5c2ac61c32eba552b680aeaad5d9c1838c3c91cebb52f8e57ed369b3b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2012-07-31T17:52:26Z",
    "title_canon_sha256": "512f9bdcb3bc7e87e0b9d443e2cfc4f9fc4c319dfbc8d758f714c72392e46a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7330",
    "kind": "arxiv",
    "version": 1
  }
}