Pith Number

pith:XYI5CUMS

pith:2016:XYI5CUMSND344KI3R7YJI56TTF

not attested not anchored not stored refs pending

SMART: The Stochastic Monotone Aggregated Root-Finding Algorithm

Damek Davis

arxiv:1601.00698 v2 · 2016-01-04 · 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{XYI5CUMSND344KI3R7YJI56TTF}

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.

Cited by

1 paper in Pith

Stochastic algorithms with geometric step decay converge linearly on sharp functions

Receipt and verification

First computed	2026-05-18T01:12:37.872200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be11d1519268f7ce291b8ff09477d39969162c21036e4ec50313fb70d1d091aa

Aliases

arxiv: 1601.00698 · arxiv_version: 1601.00698v2 · doi: 10.48550/arxiv.1601.00698 · pith_short_12: XYI5CUMSND34 · pith_short_16: XYI5CUMSND344KI3 · pith_short_8: XYI5CUMS

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/XYI5CUMSND344KI3R7YJI56TTF \
  | 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: be11d1519268f7ce291b8ff09477d39969162c21036e4ec50313fb70d1d091aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "687e5d1b033b4190736eaf7a3593974e48fe7eb662f88f847387e8f0b4bc1e04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-04T23:02:41Z",
    "title_canon_sha256": "8f8f21f3aeb9bb2328dfe693203841c58ad06fe2f51b23b459c3452c261de242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00698",
    "kind": "arxiv",
    "version": 2
  }
}