Pith Number

pith:K7MIYCNV

pith:2024:K7MIYCNVDZMWGLCK2Y4OXT4THL

not attested not anchored not stored refs pending

Nonlinear Conjugate Gradient Methods for Optimization of Set-Valued Mappings of Finite Cardinality

Debdas Ghosh, Jen-Chih Yao, Ravi Raushan, Zai-Yun Peng

arxiv:2412.20168 v1 · 2024-12-28 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7MIYCNVDZMWGLCK2Y4OXT4THL}

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	2026-07-05T09:54:55.488531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d88c09b51e59632c4ad638ebcf933aff818d1024e84dd547764b84783f5ea8

Aliases

arxiv: 2412.20168 · arxiv_version: 2412.20168v1 · doi: 10.48550/arxiv.2412.20168 · pith_short_12: K7MIYCNVDZMW · pith_short_16: K7MIYCNVDZMWGLCK · pith_short_8: K7MIYCNV

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/K7MIYCNVDZMWGLCK2Y4OXT4THL \
  | 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: 57d88c09b51e59632c4ad638ebcf933aff818d1024e84dd547764b84783f5ea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9507e866957137abc4daecc0df33d891872f9dcf9365553eb4b97d7e9f7c5f4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-28T14:49:37Z",
    "title_canon_sha256": "c0989959a47797ebde3e38f9472b599f1fdcaf0d34974e2bbfeffc73fbac1f24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20168",
    "kind": "arxiv",
    "version": 1
  }
}