Pith Number

pith:K4TDUNHJ

pith:2020:K4TDUNHJOEWERVSGZQBUBV6ODW

not attested not anchored not stored refs pending

Sufficient Descent Riemannian Conjugate Gradient Method

Hideaki Iiduka, Hiroyuki Sakai

arxiv:2009.01451 v2 · 2020-09-03 · 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{K4TDUNHJOEWERVSGZQBUBV6ODW}

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	2026-07-05T02:35:01.465581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57263a34e9712c48d646cc0340d7ce1d8d684c4266605abff4a8a33475f5f9e9

Aliases

arxiv: 2009.01451 · arxiv_version: 2009.01451v2 · doi: 10.48550/arxiv.2009.01451 · pith_short_12: K4TDUNHJOEWE · pith_short_16: K4TDUNHJOEWERVSG · pith_short_8: K4TDUNHJ

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/K4TDUNHJOEWERVSGZQBUBV6ODW \
  | 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: 57263a34e9712c48d646cc0340d7ce1d8d684c4266605abff4a8a33475f5f9e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d3f09e2145880bd8f06560cd8d3e4b4f51c1585fc6a9b12d4ab1e892f25d2e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-09-03T05:07:52Z",
    "title_canon_sha256": "45cffcdcd07177b2f4df752590424a4c9ff819a7adb518d633a23dd058fd0d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.01451",
    "kind": "arxiv",
    "version": 2
  }
}