Pith Number

pith:R5KAZBFP

pith:2025:R5KAZBFPPPNJMZTEX7NW2XOASM

not attested not anchored not stored refs pending

H-invariance theory: A complete characterization of minimax optimal fixed-point algorithms

Benjamin Grimmer, Ernest K. Ryu, TaeHo Yoon

arxiv:2511.14915 v2 · 2025-11-18 · 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{R5KAZBFPPPNJMZTEX7NW2XOASM}

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

2 papers in Pith

Toward a Systematic Understanding and Interactive Search of Lyapunov-Style Proofs in Optimization

A Theory of Composition and Duality of Extremal Optimal Fixed-Point Algorithms

Receipt and verification

First computed	2026-08-10T01:09:20.922050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f540c84af7bda966664bfdb6d5dc09300b9ef70f3fe6c4639dcdce3dc6d0438

Aliases

arxiv: 2511.14915 · arxiv_version: 2511.14915v2 · doi: 10.48550/arxiv.2511.14915 · pith_short_12: R5KAZBFPPPNJ · pith_short_16: R5KAZBFPPPNJMZTE · pith_short_8: R5KAZBFP

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/R5KAZBFPPPNJMZTEX7NW2XOASM \
  | 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: 8f540c84af7bda966664bfdb6d5dc09300b9ef70f3fe6c4639dcdce3dc6d0438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f8d30698af7d94c24df92797521011ccd796bd82a09bdb85dfdc92dd8fe9ec4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-11-18T21:12:49Z",
    "title_canon_sha256": "ea7f424c945d088f200f5bf412cca4027db11a84b3611c2affca15f103a247d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.14915",
    "kind": "arxiv",
    "version": 2
  }
}