Pith Number

pith:D4NHMW6I

pith:2015:D4NHMW6IQ62H2WIUAHA42TAQLS

not attested not anchored not stored refs pending

A deterministic global optimization using smooth diagonal auxiliary functions

Dmitri E. Kvasov, Yaroslav D. Sergeyev

arxiv:1509.04518 v1 · 2015-09-15 · math.OC · cs.MS · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4NHMW6IQ62H2WIUAHA42TAQLS}

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	2026-05-18T01:32:58.655256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1a765bc887b47d591401c1cd4c105caba4212ac78a3ff19c2c38ae0b23e324

Aliases

arxiv: 1509.04518 · arxiv_version: 1509.04518v1 · doi: 10.48550/arxiv.1509.04518 · pith_short_12: D4NHMW6IQ62H · pith_short_16: D4NHMW6IQ62H2WIU · pith_short_8: D4NHMW6I

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/D4NHMW6IQ62H2WIUAHA42TAQLS \
  | 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: 1f1a765bc887b47d591401c1cd4c105caba4212ac78a3ff19c2c38ae0b23e324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edbffd4705f64465da4a633e1bdedfbf4f44333a8497e7f2a999c104ea46d3db",
    "cross_cats_sorted": [
      "cs.MS",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-15T12:24:58Z",
    "title_canon_sha256": "4f82feb06f18be9cfe693692b28a75d106bb56fb47100dd042c2c3882a3e7f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04518",
    "kind": "arxiv",
    "version": 1
  }
}