Pith Number

pith:TU2K7Y5P

pith:2024:TU2K7Y5PQD5WPEV47TMBVFVK3P

not attested not anchored not stored refs pending

Riemannian conditional gradient methods for composite optimization problems

Ellen H. Fukuda, Kangming Chen

arxiv:2412.19427 v2 · 2024-12-27 · 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{TU2K7Y5PQD5WPEV47TMBVFVK3P}

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	2026-05-20T00:04:07.299172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d34afe3af80fb6792bcfcd81a96aadbcff6a171119a5c325f4c4ab1107cd656

Aliases

arxiv: 2412.19427 · arxiv_version: 2412.19427v2 · doi: 10.48550/arxiv.2412.19427 · pith_short_12: TU2K7Y5PQD5W · pith_short_16: TU2K7Y5PQD5WPEV4 · pith_short_8: TU2K7Y5P

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/TU2K7Y5PQD5WPEV47TMBVFVK3P \
  | 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: 9d34afe3af80fb6792bcfcd81a96aadbcff6a171119a5c325f4c4ab1107cd656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30b9a45cdb5c55d790b7d9fdcaba74373e10a541db8fa3d7eb45942b016ee127",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-27T03:38:07Z",
    "title_canon_sha256": "4ede68a1162c1bb85e1fe9a46d9746c5a3621fa7d2a5ffdf8efa2eef7571f3b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19427",
    "kind": "arxiv",
    "version": 2
  }
}