Pith Number

pith:BY75TFN2

pith:2012:BY75TFN2AU7H2PAHGLGQ4EYJU3

not attested not anchored not stored refs pending

A Fourier Approach to the Computation of CV@R and Optimized Certainty Equivalents

Antonis Papapantoleon, Michael Kupper, Samuel Drapeau

arxiv:1212.6732 v4 · 2012-12-30 · q-fin.RM · math.PR · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BY75TFN2AU7H2PAHGLGQ4EYJU3}

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	2026-05-18T01:23:17.053409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e3fd995ba053e7d3c0732cd0e1309a6fa0c584517b7089ec4e6a86cdd222688

Aliases

arxiv: 1212.6732 · arxiv_version: 1212.6732v4 · doi: 10.48550/arxiv.1212.6732 · pith_short_12: BY75TFN2AU7H · pith_short_16: BY75TFN2AU7H2PAH · pith_short_8: BY75TFN2

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/BY75TFN2AU7H2PAHGLGQ4EYJU3 \
  | 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: 0e3fd995ba053e7d3c0732cd0e1309a6fa0c584517b7089ec4e6a86cdd222688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e06eca884b4cec4e20acb918f44599aec62b737f69ace877781edd6fc275f5fc",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2012-12-30T15:36:46Z",
    "title_canon_sha256": "dc36d9eb77b68d9c8440ef0bd8e9cb387e32de2c12455b1774f900c564929b07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6732",
    "kind": "arxiv",
    "version": 4
  }
}