Pith Number

pith:RN32KWU4

pith:2011:RN32KWU4XG447K5IO6OH3WY34C

not attested not anchored not stored refs pending

Convergence of inexact descent methods for nonconvex optimization on Riemannian manifolds

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

arxiv:1103.4828 v1 · 2011-03-24 · 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{RN32KWU4XG447K5IO6OH3WY34C}

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	2026-05-18T04:26:00.812033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b77a55a9cb9b9cfaba8779c7ddb1be0928e3d03f4bd0e97d83885fc861397b5

Aliases

arxiv: 1103.4828 · arxiv_version: 1103.4828v1 · doi: 10.48550/arxiv.1103.4828 · pith_short_12: RN32KWU4XG44 · pith_short_16: RN32KWU4XG447K5I · pith_short_8: RN32KWU4

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/RN32KWU4XG447K5IO6OH3WY34C \
  | 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: 8b77a55a9cb9b9cfaba8779c7ddb1be0928e3d03f4bd0e97d83885fc861397b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f35cd4e5895fec7c9d358fc12230cad6a1694d5b530626808146829642b4cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-03-24T18:19:17Z",
    "title_canon_sha256": "31141bfd389afcd4bd8cd956620b0aa623a5ef378f535f1da376bc02d9a7f4df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4828",
    "kind": "arxiv",
    "version": 1
  }
}