Pith Number

pith:LT7Q3J3P

pith:2026:LT7Q3J3PQB2XGWFPMM4T4VNSHR

not attested not anchored not stored refs pending

McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation

Jinchao Xu, Jiwei Jia, Juntao Wang, Xinliang Liu

arxiv:2606.30495 v1 · 2026-06-29 · math.NA · cs.AI · cs.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LT7Q3J3PQB2XGWFPMM4T4VNSHR}

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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	2026-06-30T02:18:17.674751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cff0da76f80757358af63393e55b23c40c291a9dba7f23e3b960372e86ebb9f

Aliases

arxiv: 2606.30495 · arxiv_version: 2606.30495v1 · doi: 10.48550/arxiv.2606.30495 · pith_short_12: LT7Q3J3PQB2X · pith_short_16: LT7Q3J3PQB2XGWFP · pith_short_8: LT7Q3J3P

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/LT7Q3J3PQB2XGWFPMM4T4VNSHR \
  | 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: 5cff0da76f80757358af63393e55b23c40c291a9dba7f23e3b960372e86ebb9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb545d5d2406d3c3887ee09ed9888164283c4b6007022f7a558d81b4fc7447f1",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-29T16:01:44Z",
    "title_canon_sha256": "d6f1d41d7494eea66b80409cfc3de835a7939e42dea2295ff6d25f0cc82d8d19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30495",
    "kind": "arxiv",
    "version": 1
  }
}