Pith Number

pith:5VNFOQSW

pith:2019:5VNFOQSW45LZYROWCJDMR4UTX5

not attested not anchored not stored refs pending

No-gap second-order conditions under $n$-polyhedric constraints and finitely many nonlinear constraints

Gerd Wachsmuth

arxiv:1902.07750 v1 · 2019-02-20 · 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{5VNFOQSW45LZYROWCJDMR4UTX5}

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	2026-05-17T23:53:03.958572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5a574256e7579c45d61246c8f293bf4935dcd47df9db7ef9ec7c8d03c62d94

Aliases

arxiv: 1902.07750 · arxiv_version: 1902.07750v1 · doi: 10.48550/arxiv.1902.07750 · pith_short_12: 5VNFOQSW45LZ · pith_short_16: 5VNFOQSW45LZYROW · pith_short_8: 5VNFOQSW

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/5VNFOQSW45LZYROWCJDMR4UTX5 \
  | 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: ed5a574256e7579c45d61246c8f293bf4935dcd47df9db7ef9ec7c8d03c62d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de253d03f13532011ee5f48cf78f99000f252001ba3bbce691a00343154507fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-02-20T19:44:33Z",
    "title_canon_sha256": "4fac7432f2c1debbc3f9ebd0cd264b1ba45d657c042a3a6170b6c4aeca0a0eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07750",
    "kind": "arxiv",
    "version": 1
  }
}