Pith Number

pith:WNBKKSY6

pith:2015:WNBKKSY6AGA37EZIAGL3KSXAM4

not attested not anchored not stored refs pending

Shrinkage = Factor Model

Zura Kakushadze

arxiv:1511.04764 v2 · 2015-11-15 · q-fin.PM · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNBKKSY6AGA37EZIAGL3KSXAM4}

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	2026-05-18T01:10:14.866221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b342a54b1e0181bf93280197b54ae06715127500207df8cfdb70508814d257e1

Aliases

arxiv: 1511.04764 · arxiv_version: 1511.04764v2 · doi: 10.48550/arxiv.1511.04764 · pith_short_12: WNBKKSY6AGA3 · pith_short_16: WNBKKSY6AGA37EZI · pith_short_8: WNBKKSY6

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/WNBKKSY6AGA37EZIAGL3KSXAM4 \
  | 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: b342a54b1e0181bf93280197b54ae06715127500207df8cfdb70508814d257e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1edac9b690deb4f02c5191a0c796a06f64feac3bd4b59c1f5b9b1ee67d0dd638",
    "cross_cats_sorted": [
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2015-11-15T20:33:14Z",
    "title_canon_sha256": "ce766a5367bc8858784ddc7c654dbd299ae4f8fea835bdf118c8fd38df95a9df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04764",
    "kind": "arxiv",
    "version": 2
  }
}