Pith Number

pith:II3ZCD76

pith:2012:II3ZCD76ARSSYY6FVZEMIXOL5C

not attested not anchored not stored refs pending

Complete duality for quasiconvex dynamic risk measures on modules of the $L^{p}$-type

Marco Frittelli, Marco Maggis

arxiv:1201.1788 v2 · 2012-01-09 · 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{II3ZCD76ARSSYY6FVZEMIXOL5C}

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	2026-05-18T03:46:16.746689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4237910ffe04652c63c5ae48c45dcbe8bb71a8b74b1ec4c413330aa68eddf9ad

Aliases

arxiv: 1201.1788 · arxiv_version: 1201.1788v2 · doi: 10.48550/arxiv.1201.1788 · pith_short_12: II3ZCD76ARSS · pith_short_16: II3ZCD76ARSSYY6F · pith_short_8: II3ZCD76

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/II3ZCD76ARSSYY6FVZEMIXOL5C \
  | 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: 4237910ffe04652c63c5ae48c45dcbe8bb71a8b74b1ec4c413330aa68eddf9ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9455db0ace5da549c583285ee52aada04bd15b8c376061470b48c8c35145c7e0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2012-01-09T14:51:08Z",
    "title_canon_sha256": "d29c56ab5921b782e69ead5b2f0bba18510092ae470d0f5656b51b4741541b7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1788",
    "kind": "arxiv",
    "version": 2
  }
}