Pith Number

pith:MUP3AZHU

pith:2021:MUP3AZHUD6SBSCQNHRTKZQH34R

not attested not anchored not stored refs pending

New stationarity conditions between strong and M-stationarity for mathematical programs with complementarity constraints

Felix Harder

arxiv:2109.01623 v1 · 2021-09-03 · 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{MUP3AZHUD6SBSCQNHRTKZQH34R}

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	2026-07-05T03:11:20.244066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651fb064f41fa4190a0d3c66acc0fbe47ef20f3bbc7217447bdf7df0adc18a99

Aliases

arxiv: 2109.01623 · arxiv_version: 2109.01623v1 · doi: 10.48550/arxiv.2109.01623 · pith_short_12: MUP3AZHUD6SB · pith_short_16: MUP3AZHUD6SBSCQN · pith_short_8: MUP3AZHU

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/MUP3AZHUD6SBSCQNHRTKZQH34R \
  | 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: 651fb064f41fa4190a0d3c66acc0fbe47ef20f3bbc7217447bdf7df0adc18a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb143f627eaf45b8adf440070b37f345ecdf5574163fda3601172adc718b68dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-09-03T17:04:04Z",
    "title_canon_sha256": "c41b2768437476d8a7024cd7702b793cebfc63087585dcf5cf7cb9f4631c50b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.01623",
    "kind": "arxiv",
    "version": 1
  }
}