Pith Number

pith:LICJSKLC

pith:2013:LICJSKLCKK2QNK4CHTMUAPVAQQ

not attested not anchored not stored refs pending

A second-order stock market model

Ioannis Karatzas, Robert Fernholz, Tomoyuki Ichiba

arxiv:1302.3870 v1 · 2013-02-15 · q-fin.ST · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LICJSKLCKK2QNK4CHTMUAPVAQQ}

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	2026-05-18T03:33:27.167389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0499296252b506ab823cd9403ea08423aeea462014883beefc119710ae74a6

Aliases

arxiv: 1302.3870 · arxiv_version: 1302.3870v1 · doi: 10.48550/arxiv.1302.3870 · pith_short_12: LICJSKLCKK2Q · pith_short_16: LICJSKLCKK2QNK4C · pith_short_8: LICJSKLC

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/LICJSKLCKK2QNK4CHTMUAPVAQQ \
  | 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: 5a0499296252b506ab823cd9403ea08423aeea462014883beefc119710ae74a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b43c2b222263236657343e4ebb2d5677161cce20cc644fcb7f6fc195e3a3adfc",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2013-02-15T20:33:13Z",
    "title_canon_sha256": "4d3f85119fa135de9163c20d867e631fed494574945cd986c14b070e9c288fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3870",
    "kind": "arxiv",
    "version": 1
  }
}