Pith Number

pith:E4BQIDHJ

pith:2021:E4BQIDHJM23VZRNX3SFTRLRVEF

not attested not anchored not stored refs pending

Sensitivity Analysis of Stochastic Constraint and Variational Systems via Generalized Differentiation

Boris S. Mordukhovich, Pedro P\'erez-Aros

arxiv:2112.05571 v1 · 2021-12-10 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4BQIDHJM23VZRNX3SFTRLRVEF}

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	2026-07-05T03:39:49.769374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2703040ce966b75cc5b7dc8b38ae35216886a4459a054ab1c0b22c3f0428b52b

Aliases

arxiv: 2112.05571 · arxiv_version: 2112.05571v1 · doi: 10.48550/arxiv.2112.05571 · pith_short_12: E4BQIDHJM23V · pith_short_16: E4BQIDHJM23VZRNX · pith_short_8: E4BQIDHJ

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/E4BQIDHJM23VZRNX3SFTRLRVEF \
  | 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: 2703040ce966b75cc5b7dc8b38ae35216886a4459a054ab1c0b22c3f0428b52b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ca099f7712a96d2ba628126c26e91e05877f6be583f9a2857e75ee92d9317b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-12-10T14:39:06Z",
    "title_canon_sha256": "1cec4af43e4bc6c6de662f5a26e9b8da14d4b84de8d0b8b3d7a8c4609da03e7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05571",
    "kind": "arxiv",
    "version": 1
  }
}