Pith Number

pith:L7KIH3CT

pith:2017:L7KIH3CTKQ5KWBFRPYP6ZEYWPH

not attested not anchored not stored refs pending

Strong Metric Subregularity of Mappings in Variational Analysis and Optimization

Alexander Kruger, Asen Dontchev, Radek Cibulka

arxiv:1701.02078 v1 · 2017-01-09 · 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{L7KIH3CTKQ5KWBFRPYP6ZEYWPH}

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	2026-05-18T00:16:09.377811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd483ec53543aab04b17e1fec931679e4ac77b3baf67fb7584333e145a65646

Aliases

arxiv: 1701.02078 · arxiv_version: 1701.02078v1 · doi: 10.48550/arxiv.1701.02078 · pith_short_12: L7KIH3CTKQ5K · pith_short_16: L7KIH3CTKQ5KWBFR · pith_short_8: L7KIH3CT

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/L7KIH3CTKQ5KWBFRPYP6ZEYWPH \
  | 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: 5fd483ec53543aab04b17e1fec931679e4ac77b3baf67fb7584333e145a65646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b1500c1bb919434326030bbc2496e7c1ff7f83728b01865339bdbfac2957dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-01-09T06:58:30Z",
    "title_canon_sha256": "c9de693469f0f899b19881c831b6221833eb2fa20fc5050c4be924255c9f7399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02078",
    "kind": "arxiv",
    "version": 1
  }
}