Pith Number

pith:26ITGIGA

pith:2018:26ITGIGA7OEX4N6CV23UK7ZHOQ

not attested not anchored not stored refs pending

A unifying theory of exactness of linear penalty functions II: parametric penalty functions

M.V. Dolgopolik

arxiv:1807.05570 v1 · 2018-07-15 · 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{26ITGIGA7OEX4N6CV23UK7ZHOQ}

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	2026-05-18T00:10:43.190782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7913320c0fb897e37c2aeb7457f277404f00e90e6f9be7f6b4aae161da62d77

Aliases

arxiv: 1807.05570 · arxiv_version: 1807.05570v1 · doi: 10.48550/arxiv.1807.05570 · pith_short_12: 26ITGIGA7OEX · pith_short_16: 26ITGIGA7OEX4N6C · pith_short_8: 26ITGIGA

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/26ITGIGA7OEX4N6CV23UK7ZHOQ \
  | 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: d7913320c0fb897e37c2aeb7457f277404f00e90e6f9be7f6b4aae161da62d77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d012261514ac17116657c6c7180d2f7d9db90eb8cc9085141cec90a653964cdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-15T16:16:24Z",
    "title_canon_sha256": "4c047f702f6566777877e860ac702e4413069cf3926671ee9e749b17e15b7b31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05570",
    "kind": "arxiv",
    "version": 1
  }
}