Pith Number

pith:S7O3USMP

pith:2015:S7O3USMPTY6PAAFBJEWNNERBSG

not attested not anchored not stored refs pending

Mean-Reverting Portfolios: Tradeoffs Between Sparsity and Volatility

Alexandre d'Aspremont, Marco Cuturi

arxiv:1509.05954 v1 · 2015-09-20 · q-fin.ST · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7O3USMPTY6PAAFBJEWNNERBSG}

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	2026-05-18T01:32:36.265849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ddba498f9e3cf000a1492cd6922191a6ae4780cfceccf4aac8db1e2ee29e69

Aliases

arxiv: 1509.05954 · arxiv_version: 1509.05954v1 · doi: 10.48550/arxiv.1509.05954 · pith_short_12: S7O3USMPTY6P · pith_short_16: S7O3USMPTY6PAAFB · pith_short_8: S7O3USMP

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/S7O3USMPTY6PAAFBJEWNNERBSG \
  | 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: 97ddba498f9e3cf000a1492cd6922191a6ae4780cfceccf4aac8db1e2ee29e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "225f2fa5714ab02d6d229a7decf0b2ad9eb243bdb458bdd6425b8ab4359ca78c",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2015-09-20T02:04:14Z",
    "title_canon_sha256": "272172fb69bf953d84655c21125be7b82d285edac7b7f777bff83ff3a68fa77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05954",
    "kind": "arxiv",
    "version": 1
  }
}