Pith Number

pith:VIN4M2AY

pith:2025:VIN4M2AY77KCE7BTWIZ4OJY6R7

not attested not anchored not stored refs pending

MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation

Changqing Ye, Eric T. Chung, Qing Huo Liu, Qiwei Zhan, Shubin Fu

arxiv:2506.03617 v1 · 2025-06-04 · 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{VIN4M2AY77KCE7BTWIZ4OJY6R7}

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	2026-07-05T11:15:48.852149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1bc66818ffd4227c33b233c7271e8fd4bd21ba8ec305a51f775312068acf44

Aliases

arxiv: 2506.03617 · arxiv_version: 2506.03617v1 · doi: 10.48550/arxiv.2506.03617 · pith_short_12: VIN4M2AY77KC · pith_short_16: VIN4M2AY77KCE7BT · pith_short_8: VIN4M2AY

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/VIN4M2AY77KCE7BTWIZ4OJY6R7 \
  | 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: aa1bc66818ffd4227c33b233c7271e8fd4bd21ba8ec305a51f775312068acf44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad3a06b02223c45998b125942edd1e167c60a13a574dd7821578c7aa1ac4f09c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-04T06:52:25Z",
    "title_canon_sha256": "f4d59208b2fb090c67b8456c2e3d367f9138a7e4ccec9aaf70c4f6b8c0ee7b34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03617",
    "kind": "arxiv",
    "version": 1
  }
}