Pith Number

pith:V4B5KV4B

pith:2012:V4B5KV4BYLZWDU37NZ7MXANIJE

not attested not anchored not stored refs pending

Fractal Markets Hypothesis and the Global Financial Crisis: Scaling, Investment Horizons and Liquidity

Ladislav Kristoufek

arxiv:1203.4979 v1 · 2012-03-22 · q-fin.ST · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4B5KV4BYLZWDU37NZ7MXANIJE}

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	2026-05-18T03:51:14.109258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af03d55781c2f361d37f6e7ecb81a84904b43b3a18fb73a94a60a2a783e630e1

Aliases

arxiv: 1203.4979 · arxiv_version: 1203.4979v1 · doi: 10.48550/arxiv.1203.4979 · pith_short_12: V4B5KV4BYLZW · pith_short_16: V4B5KV4BYLZWDU37 · pith_short_8: V4B5KV4B

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/V4B5KV4BYLZWDU37NZ7MXANIJE \
  | 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: af03d55781c2f361d37f6e7ecb81a84904b43b3a18fb73a94a60a2a783e630e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ec0752197a3b06638855def8daffe9d91ad6a2bb8c42192014e75c73005bd9",
    "cross_cats_sorted": [
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2012-03-22T13:19:13Z",
    "title_canon_sha256": "70d28742e4d32988ea9561df1ae952526366afd586675a791cf88be90ede56bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4979",
    "kind": "arxiv",
    "version": 1
  }
}