Pith Number

pith:YLFWN76B

pith:2013:YLFWN76BAQALFFXRPZXCNYIZMD

not attested not anchored not stored refs pending

A Unified Approach to Convex and Convexified Generalized Differentiation of Nonsmooth Functions and Set-Valued Mappings

Nguyen Dinh Hoang, Nguyen Mau Nam, R. Blake Rector

arxiv:1308.0775 v1 · 2013-08-04 · 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{YLFWN76BAQALFFXRPZXCNYIZMD}

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	2026-05-18T03:16:48.195642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2cb66ffc10400b296f17e6e26e11960c3bc8ea5d6d61a7741d36e0c08d6e56f

Aliases

arxiv: 1308.0775 · arxiv_version: 1308.0775v1 · doi: 10.48550/arxiv.1308.0775 · pith_short_12: YLFWN76BAQAL · pith_short_16: YLFWN76BAQALFFXR · pith_short_8: YLFWN76B

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/YLFWN76BAQALFFXRPZXCNYIZMD \
  | 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: c2cb66ffc10400b296f17e6e26e11960c3bc8ea5d6d61a7741d36e0c08d6e56f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22082b922cd0fda752013bf2c15a8895531cea9289792a9cb981ee2d612bfb66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-08-04T04:03:05Z",
    "title_canon_sha256": "6d8d09583a9ab085e3f9fef6ec2b3811f0773a3620009b7752e21cc1cb28dc9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0775",
    "kind": "arxiv",
    "version": 1
  }
}