Pith Number

pith:2VRS4GIR

pith:2010:2VRS4GIRTFFDIXFRB4TV6WQ2TC

not attested not anchored not stored refs pending

Unconstrained steepest descent method for multicriteria optimization on Riemmanian manifolds

G. C. Bento, O. P. Ferreira, P. R. Oliveira

arxiv:1011.0010 v1 · 2010-10-29 · 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{2VRS4GIRTFFDIXFRB4TV6WQ2TC}

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	2026-05-18T04:37:30.755819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5632e1911994a345cb10f275f5a1a98b545e7ff3b921ec20bbf3824fa087c67

Aliases

arxiv: 1011.0010 · arxiv_version: 1011.0010v1 · doi: 10.48550/arxiv.1011.0010 · pith_short_12: 2VRS4GIRTFFD · pith_short_16: 2VRS4GIRTFFDIXFR · pith_short_8: 2VRS4GIR

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/2VRS4GIRTFFDIXFRB4TV6WQ2TC \
  | 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: d5632e1911994a345cb10f275f5a1a98b545e7ff3b921ec20bbf3824fa087c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f7a957cd0cbb997147b3e415171124358ba4fd763c3334eb8c92b82314db124",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-10-29T20:20:31Z",
    "title_canon_sha256": "39b273b5de3f09d865e9cdcbe4e5d45feb983888eb2b92fcce3f34494e795476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0010",
    "kind": "arxiv",
    "version": 1
  }
}