Pith Number

pith:2VB3WAJN

pith:2012:2VB3WAJN3ZWEAP2P2QDYL6HHDO

not attested not anchored not stored refs pending

The self regulation problem as an inexact steepest descent method for multicriteria optimization

A. Soubeyran, G. C. Bento, J. X. Cruz Neto, P. R. Oliveira

arxiv:1207.0775 v1 · 2012-07-03 · math.OC · 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{2VB3WAJN3ZWEAP2P2QDYL6HHDO}

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	2026-05-18T03:51:49.094837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d543bb012dde6c403f4fd40785f8e71b88e99381fd3b91a2b7525d74e0d07af7

Aliases

arxiv: 1207.0775 · arxiv_version: 1207.0775v1 · doi: 10.48550/arxiv.1207.0775 · pith_short_12: 2VB3WAJN3ZWE · pith_short_16: 2VB3WAJN3ZWEAP2P · pith_short_8: 2VB3WAJN

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/2VB3WAJN3ZWEAP2P2QDYL6HHDO \
  | 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: d543bb012dde6c403f4fd40785f8e71b88e99381fd3b91a2b7525d74e0d07af7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a41e3dc32d23419e1ca9527d3faddb4ae4c760f692112f18a631567b52526d7",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-07-03T18:36:58Z",
    "title_canon_sha256": "d7d448b7789034d58345884b6062d29926601e05f123bb48a30ed68e6df21f87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0775",
    "kind": "arxiv",
    "version": 1
  }
}