Pith Number

pith:KJ4W5O3B

pith:2015:KJ4W5O3B7CBENTCNWQSXPYHX33

not attested not anchored not stored refs pending

Financial market models in discrete time beyond the concave case

Mario Sikic

arxiv:1512.01758 v1 · 2015-12-06 · q-fin.MF · 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{KJ4W5O3B7CBENTCNWQSXPYHX33}

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	2026-05-18T01:25:10.419151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52796ebb61f88246cc4db42577e0f7decdafd817146ce31c5b817d4987953648

Aliases

arxiv: 1512.01758 · arxiv_version: 1512.01758v1 · doi: 10.48550/arxiv.1512.01758 · pith_short_12: KJ4W5O3B7CBE · pith_short_16: KJ4W5O3B7CBENTCN · pith_short_8: KJ4W5O3B

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/KJ4W5O3B7CBENTCNWQSXPYHX33 \
  | 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: 52796ebb61f88246cc4db42577e0f7decdafd817146ce31c5b817d4987953648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf82af3a6e8c025319daf82d85ce096c2de5becbe49179f6c30e50dcfc29b1ce",
    "cross_cats_sorted": [
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-12-06T07:52:54Z",
    "title_canon_sha256": "f391d237feb170dfaa50ae27f3b19c95aa8a129e39fcbc24c1baec1a5407877d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01758",
    "kind": "arxiv",
    "version": 1
  }
}