Pith Number

pith:63UTBGVU

pith:2019:63UTBGVU3OPZSBZESXIRIA43D3

not attested not anchored not stored refs pending

Explicit Formula for Preimages of Relaxed One-Sided Lipschitz Mappings with Negative Lipschitz Constants

Andrew C. Eberhard, Boris S. Mordukhovich, Janosch Rieger

arxiv:1902.01498 v2 · 2019-02-04 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63UTBGVU3OPZSBZESXIRIA43D3}

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	2026-05-17T23:52:36.062300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e9309ab4db9f99072495d114039b1ecaa9f2f8c9d7166900807f501b24da47

Aliases

arxiv: 1902.01498 · arxiv_version: 1902.01498v2 · doi: 10.48550/arxiv.1902.01498 · pith_short_12: 63UTBGVU3OPZ · pith_short_16: 63UTBGVU3OPZSBZE · pith_short_8: 63UTBGVU

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/63UTBGVU3OPZSBZESXIRIA43D3 \
  | 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: f6e9309ab4db9f99072495d114039b1ecaa9f2f8c9d7166900807f501b24da47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7225958933369715ba9fa76b669dfba55348c75ccb707e1a2b771b17f7f72879",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-04T23:57:13Z",
    "title_canon_sha256": "c4becf939f41b67d6479f22eec8e0c5b830255f4f34946b2ee373a9e4ef320d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01498",
    "kind": "arxiv",
    "version": 2
  }
}