Pith Number

pith:I752NFJR

pith:2015:I752NFJRJPAQ3NBWWVIQASROOR

not attested not anchored not stored refs pending

Portfolio optimisation beyond semimartingales: shadow prices and fractional Brownian motion

Christoph Czichowsky, Walter Schachermayer

arxiv:1505.02416 v2 · 2015-05-10 · 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{I752NFJRJPAQ3NBWWVIQASROOR}

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	2026-05-18T01:07:52.470661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47fba695314bc10db436b551004a2e746761ec72c9d59b6103b0fdee65ef04df

Aliases

arxiv: 1505.02416 · arxiv_version: 1505.02416v2 · doi: 10.48550/arxiv.1505.02416 · pith_short_12: I752NFJRJPAQ · pith_short_16: I752NFJRJPAQ3NBW · pith_short_8: I752NFJR

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/I752NFJRJPAQ3NBWWVIQASROOR \
  | 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: 47fba695314bc10db436b551004a2e746761ec72c9d59b6103b0fdee65ef04df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f40597b1bb386dd96e706acd52619c565fdba545bf9200a485446fb9da97cd",
    "cross_cats_sorted": [
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-05-10T18:04:48Z",
    "title_canon_sha256": "b6ab88659dab3f6295675296bda80dc5d7952ac5a7d650decdbdeb61b614a70a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02416",
    "kind": "arxiv",
    "version": 2
  }
}