Pith Number

pith:S4UBJEZY

pith:2024:S4UBJEZYMYNITRVL4SLNEYNXA3

not attested not anchored not stored refs pending

Momentum-Accelerated Richardson(m) and Their Multilevel Neural Solvers

Chen Cui, Shi Shu, Yun Liu, Zhen Wang

arxiv:2412.08076 v1 · 2024-12-11 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4UBJEZYMYNITRVL4SLNEYNXA3}

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	2026-07-05T09:47:44.117533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9728149338661a89c6abe496d261b706d69d5e60bfb40f0adf6b519fcabe1098

Aliases

arxiv: 2412.08076 · arxiv_version: 2412.08076v1 · doi: 10.48550/arxiv.2412.08076 · pith_short_12: S4UBJEZYMYNI · pith_short_16: S4UBJEZYMYNITRVL · pith_short_8: S4UBJEZY

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/S4UBJEZYMYNITRVL4SLNEYNXA3 \
  | 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: 9728149338661a89c6abe496d261b706d69d5e60bfb40f0adf6b519fcabe1098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7539b28350e60a5b96354f552b5d36a979d4db4629082aba1823af08481e1f8e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-12-11T03:46:02Z",
    "title_canon_sha256": "53ba430e8ea6e2d9216a751374f73d43cc83fbbdb5557b850ac7ba3a0b9912d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08076",
    "kind": "arxiv",
    "version": 1
  }
}