Pith Number

pith:XVNWMOOS

pith:2019:XVNWMOOSFJSCJPLLXJKIQOJTS2

not attested not anchored not stored refs pending

Set-Valued Risk Measures as Backward Stochastic Difference Inclusions and Equations

\c{C}a\u{g}{\i}n Ararat, Zachary Feinstein

arxiv:1912.06916 v3 · 2019-12-14 · q-fin.RM · math.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{XVNWMOOSFJSCJPLLXJKIQOJTS2}

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	2026-07-05T02:07:26.884675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd5b6639d22a6424bd6bba5488393396b26c7793acf83609aa75f996e173be33

Aliases

arxiv: 1912.06916 · arxiv_version: 1912.06916v3 · doi: 10.48550/arxiv.1912.06916 · pith_short_12: XVNWMOOSFJSC · pith_short_16: XVNWMOOSFJSCJPLL · pith_short_8: XVNWMOOS

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/XVNWMOOSFJSCJPLLXJKIQOJTS2 \
  | 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: bd5b6639d22a6424bd6bba5488393396b26c7793acf83609aa75f996e173be33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036f83aed2e4e197dcf1b2fd34557372b5d6ea151a75ea6a70d03227325557c4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2019-12-14T20:13:16Z",
    "title_canon_sha256": "7f205ceeb77945615a6dd6822c8e21d33373c4fc6ea76fe4d011cf4efccf2d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.06916",
    "kind": "arxiv",
    "version": 3
  }
}