Pith Number

pith:ZUHO73L6

pith:2013:ZUHO73L6Z32VTF66RFKY6VKHRD

not attested not anchored not stored refs pending

Lipschitz Properties of Nonsmooth Functions and Set-Valued Mappings via Generalized Differentiation and Applications

Gerardo Lafferriere, Nguyen Mau Nam

arxiv:1302.1794 v1 · 2013-02-07 · 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{ZUHO73L6Z32VTF66RFKY6VKHRD}

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	2026-05-18T03:34:14.608167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd0eefed7ecef55997de89558f554788fbf6ee679967c7065a5658d53e571976

Aliases

arxiv: 1302.1794 · arxiv_version: 1302.1794v1 · doi: 10.48550/arxiv.1302.1794 · pith_short_12: ZUHO73L6Z32V · pith_short_16: ZUHO73L6Z32VTF66 · pith_short_8: ZUHO73L6

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/ZUHO73L6Z32VTF66RFKY6VKHRD \
  | 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: cd0eefed7ecef55997de89558f554788fbf6ee679967c7065a5658d53e571976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dce230677a026cb9cbef8ba897057dfb62d97d69cf8055753d29a885e3941fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-02-07T16:19:48Z",
    "title_canon_sha256": "c0de89e2cb7272b03f963c97d0620635ab85b84b2d0a5546fbb8421f07bd8009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1794",
    "kind": "arxiv",
    "version": 1
  }
}