Pith Number

pith:YGZN2A6L

pith:2013:YGZN2A6LRMMUPSYLXTMIDGUI23

not attested not anchored not stored refs pending

Note on multidimensional Breeden-Litzenberger representation for state price densities

Jarno Talponen, Lauri Viitasaari

arxiv:1305.5963 v2 · 2013-05-25 · 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{YGZN2A6LRMMUPSYLXTMIDGUI23}

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	2026-05-18T02:32:06.326992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1b2dd03cb8b1947cb0bbcd8819a88d6c5610bd7bedbd672c80166fde8d035c9

Aliases

arxiv: 1305.5963 · arxiv_version: 1305.5963v2 · doi: 10.48550/arxiv.1305.5963 · pith_short_12: YGZN2A6LRMMU · pith_short_16: YGZN2A6LRMMUPSYL · pith_short_8: YGZN2A6L

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/YGZN2A6LRMMUPSYLXTMIDGUI23 \
  | 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: c1b2dd03cb8b1947cb0bbcd8819a88d6c5610bd7bedbd672c80166fde8d035c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffcac711b2ad66f902b9f3170d40385b9975b71e11fa9c84398234877f47db0",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-25T19:45:54Z",
    "title_canon_sha256": "bc42164bf34c2ace073e27bc89f9f90778ef8e86de2e851688e589d09fc738f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5963",
    "kind": "arxiv",
    "version": 2
  }
}