Pith Number

pith:OB2HQVXR

pith:2019:OB2HQVXRHM3CXQB2KTLJCYNAW5

not attested not anchored not stored refs pending

Optimization with Equality and Inequality Constraints Using Parameter Continuation

Harry Dankowicz, Mingwu Li

arxiv:1909.01422 v1 · 2019-09-03 · math.OC · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OB2HQVXRHM3CXQB2KTLJCYNAW5}

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	2026-07-05T00:57:49.976123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70747856f13b362bc03a54d69161a0b74583fafcb2ed4f3882953c95d4bbeb5c

Aliases

arxiv: 1909.01422 · arxiv_version: 1909.01422v1 · doi: 10.48550/arxiv.1909.01422 · pith_short_12: OB2HQVXRHM3C · pith_short_16: OB2HQVXRHM3CXQB2 · pith_short_8: OB2HQVXR

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/OB2HQVXRHM3CXQB2KTLJCYNAW5 \
  | 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: 70747856f13b362bc03a54d69161a0b74583fafcb2ed4f3882953c95d4bbeb5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2095006d8e2595853f724d7c2eb1de6c311416204b14a2c5959e348980e7a0ca",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-09-03T19:50:00Z",
    "title_canon_sha256": "cc4d23c7565b221bd5e3f05d2427ebff9b9c4f83f9184aa8445a6f510896718b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01422",
    "kind": "arxiv",
    "version": 1
  }
}