Pith Number

pith:WJZQUOJS

pith:2013:WJZQUOJSNTK6ZMUVWYY7T6VNX7

not attested not anchored not stored refs pending

Learning from the past, predicting the statistics for the future, learning an evolving system

Daniel Levin, Hao Ni, Terry Lyons

arxiv:1309.0260 v6 · 2013-09-01 · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJZQUOJSNTK6ZMUVWYY7T6VNX7}

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.

Cited by

3 papers in Pith

Spectral Analysis of Word Statistics

Malliavin calculus for signatures with applications to finance

Anticipatory Reinforcement Learning: From Generative Path-Laws to Distributional Value Functions

Receipt and verification

First computed	2026-05-18T01:18:48.087180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2730a39326cd5ecb295b631f9faadbff79194bd6df648889f2a11171583407e

Aliases

arxiv: 1309.0260 · arxiv_version: 1309.0260v6 · doi: 10.48550/arxiv.1309.0260 · pith_short_12: WJZQUOJSNTK6 · pith_short_16: WJZQUOJSNTK6ZMUV · pith_short_8: WJZQUOJS

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/WJZQUOJSNTK6ZMUVWYY7T6VNX7 \
  | 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: b2730a39326cd5ecb295b631f9faadbff79194bd6df648889f2a11171583407e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d0450daa0e6138a9e2e416190ed7aeb14daca2cbc4e0a3850e53275d034671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2013-09-01T20:34:55Z",
    "title_canon_sha256": "0c37570bdec829244642c0a528ea2888c7c5a0151b3160ef86728583d7d0fc8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0260",
    "kind": "arxiv",
    "version": 6
  }
}