Pith Number

pith:ZNOXJ6MN

pith:2017:ZNOXJ6MNL3F33GVR2KQNLPDJLZ

not attested not anchored not stored refs pending

Full stability of general parametric variational systems

Boris S. Mordukhovich, Dat T. Pham, Tran T. A. Nghia

arxiv:1708.06631 v1 · 2017-08-20 · 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{ZNOXJ6MNL3F33GVR2KQNLPDJLZ}

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	2026-05-18T00:37:33.015612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb5d74f98d5ecbbd9ab1d2a0d5bc695e7c4c549750258dca46d9f1106bf159b8

Aliases

arxiv: 1708.06631 · arxiv_version: 1708.06631v1 · doi: 10.48550/arxiv.1708.06631 · pith_short_12: ZNOXJ6MNL3F3 · pith_short_16: ZNOXJ6MNL3F33GVR · pith_short_8: ZNOXJ6MN

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/ZNOXJ6MNL3F33GVR2KQNLPDJLZ \
  | 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: cb5d74f98d5ecbbd9ab1d2a0d5bc695e7c4c549750258dca46d9f1106bf159b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3f44663a9e6f2791fb5031620a26bbcc22842a35603a4005d6972ebf716167c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-08-20T23:02:16Z",
    "title_canon_sha256": "862a9e8c216015b48b44d65db591bc1b7af1d2346308d85ba59e7cabbe3f2263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06631",
    "kind": "arxiv",
    "version": 1
  }
}