Pith Number

pith:BP52HWFK

pith:2016:BP52HWFKY2RJA6AN3AIYUYW7IQ

not attested not anchored not stored refs pending

Robinson Stability of Parametric Constraint Systems via Variational Analysis

Boris Mordukhovich, Helmut Gfrerer

arxiv:1609.02238 v2 · 2016-09-08 · 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{BP52HWFKY2RJA6AN3AIYUYW7IQ}

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	2026-05-18T00:56:06.166558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bfba3d8aac6a290780dd8118a62df4403784b1836dd1983937ca86ac363ffbf

Aliases

arxiv: 1609.02238 · arxiv_version: 1609.02238v2 · doi: 10.48550/arxiv.1609.02238 · pith_short_12: BP52HWFKY2RJ · pith_short_16: BP52HWFKY2RJA6AN · pith_short_8: BP52HWFK

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/BP52HWFKY2RJA6AN3AIYUYW7IQ \
  | 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: 0bfba3d8aac6a290780dd8118a62df4403784b1836dd1983937ca86ac363ffbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b50af371f4fe294b3fb8954166df1725fb4cc0ba635348f24504395c1c2855",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-08T01:27:34Z",
    "title_canon_sha256": "666f201ad055d12e821ae3dab220543f38472d8ac61794781ae5537967150101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02238",
    "kind": "arxiv",
    "version": 2
  }
}