Pith Number

pith:5PB2R3PE

pith:2014:5PB2R3PESP7BWX27PIVDWH2FHV

not attested not anchored not stored refs pending

Multidimensional Breeden-Litzenberger representation for state price densities and static hedging

Jarno Talponen, Lauri Viitasaari

arxiv:1401.6383 v1 · 2014-01-20 · math.PR · q-fin.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{5PB2R3PESP7BWX27PIVDWH2FHV}

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	2026-05-18T03:01:12.234062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc3a8ede493fe1b5f5f7a2a3b1f453d723db3a8894d65783439f931c8bf3b4a

Aliases

arxiv: 1401.6383 · arxiv_version: 1401.6383v1 · doi: 10.48550/arxiv.1401.6383 · pith_short_12: 5PB2R3PESP7B · pith_short_16: 5PB2R3PESP7BWX27 · pith_short_8: 5PB2R3PE

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/5PB2R3PESP7BWX27PIVDWH2FHV \
  | 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: ebc3a8ede493fe1b5f5f7a2a3b1f453d723db3a8894d65783439f931c8bf3b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "258576e22d48ff65aefc72dca17ee6af447efedd30999e87ff7f37cfc71a21af",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-20T19:02:45Z",
    "title_canon_sha256": "05946c134a7b897bbb4b77f0a3e6279efdc0e7d2d26453c8a6bea58617f4b354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6383",
    "kind": "arxiv",
    "version": 1
  }
}