Pith Number

pith:GPAOSPXZ

pith:2014:GPAOSPXZN5PADIHXHSQWM4HJ5B

not attested not anchored not stored refs pending

A unified approach to time consistency of dynamic risk measures and dynamic performance measures in discrete time

Igor Cialenco, Marcin Pitera, Tomasz R. Bielecki

arxiv:1409.7028 v3 · 2014-09-24 · math.PR · q-fin.MF · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPAOSPXZN5PADIHXHSQWM4HJ5B}

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	2026-05-18T00:35:52.022493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c0e93ef96f5e01a0f73ca16670e9e8746c796dd34c0ca37ceef766c1351605

Aliases

arxiv: 1409.7028 · arxiv_version: 1409.7028v3 · doi: 10.48550/arxiv.1409.7028 · pith_short_12: GPAOSPXZN5PA · pith_short_16: GPAOSPXZN5PADIHX · pith_short_8: GPAOSPXZ

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/GPAOSPXZN5PADIHXHSQWM4HJ5B \
  | 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: 33c0e93ef96f5e01a0f73ca16670e9e8746c796dd34c0ca37ceef766c1351605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12f39aa89c0febd269251706999755c7d589ea442c88b129238051c9dd10af11",
    "cross_cats_sorted": [
      "q-fin.MF",
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-24T17:42:18Z",
    "title_canon_sha256": "4f80e07fcc04d5de0ec7fe811f63c78f95e5055be84e2bc8b86e76e04a9fb525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7028",
    "kind": "arxiv",
    "version": 3
  }
}