Pith Number

pith:FCTDWCGG

pith:2026:FCTDWCGGY2Z5BOK7YAEVS4XMCK

not attested not anchored not stored refs pending

Continuity of VaR and Continuous Differentiability of CVaR under Decision-Dependent Losses

Amal Sakr, Andrea Araldo, Tamer Ba\c{s}ar, Tijani Chahed

arxiv:2606.10226 v1 · 2026-06-08 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCTDWCGGY2Z5BOK7YAEVS4XMCK}

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	2026-06-10T01:09:00.535989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a63b08c6c6b3d0b95fc0095972ec128fa5b90a2a42e88a3eb53b412d20312f

Aliases

arxiv: 2606.10226 · arxiv_version: 2606.10226v1 · doi: 10.48550/arxiv.2606.10226 · pith_short_12: FCTDWCGGY2Z5 · pith_short_16: FCTDWCGGY2Z5BOK7 · pith_short_8: FCTDWCGG

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/FCTDWCGGY2Z5BOK7YAEVS4XMCK \
  | 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: 28a63b08c6c6b3d0b95fc0095972ec128fa5b90a2a42e88a3eb53b412d20312f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36b9b991c23eeececf888a4cc11105c065dda1b5d3f97fd15b8b9f82e9706cb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-08T22:34:31Z",
    "title_canon_sha256": "47aaa0f1412d4af2d3e7d5bc80e56c4c64d1b20f97d2beb9c42ef8d80e28cbee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10226",
    "kind": "arxiv",
    "version": 1
  }
}