Pith Number

pith:DXMVZAPY

pith:2021:DXMVZAPYTGLFLRSZBTWHZZAWPT

not attested not anchored not stored refs pending

M-stationarity for a class of MPCCs in Lebesgue spaces

Felix Harder, Gerd Wachsmuth

arxiv:2110.11693 v1 · 2021-10-22 · 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{DXMVZAPYTGLFLRSZBTWHZZAWPT}

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	2026-07-05T03:24:50.251480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd95c81f8999655c6590cec7ce4167ce713a3242029c04aad0f0114051f198c

Aliases

arxiv: 2110.11693 · arxiv_version: 2110.11693v1 · doi: 10.48550/arxiv.2110.11693 · pith_short_12: DXMVZAPYTGLF · pith_short_16: DXMVZAPYTGLFLRSZ · pith_short_8: DXMVZAPY

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/DXMVZAPYTGLFLRSZBTWHZZAWPT \
  | 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: 1dd95c81f8999655c6590cec7ce4167ce713a3242029c04aad0f0114051f198c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7b6604ed58168e9204eba5c921cadd889bd40d0d72f30542f8b89ca73561bde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-10-22T10:36:04Z",
    "title_canon_sha256": "259e9119d30c34a38bd02ee43094e1af286f4942d8eccc55ab9e696b2a8b0b2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.11693",
    "kind": "arxiv",
    "version": 1
  }
}