Pith Number

pith:3BEBMHIN

pith:2025:3BEBMHINFHBBJQWO7AP5JGKXPU

not attested not anchored not stored refs pending

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment

Li Luo

arxiv:2506.10711 v2 · 2025-06-12 · cs.CE · cs.NA · math.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{3BEBMHINFHBBJQWO7AP5JGKXPU}

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	2026-07-05T11:20:56.922894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d848161d0d29c214c2cef81fd499577d2b44b4726f80faa7929af23ab6908f88

Aliases

arxiv: 2506.10711 · arxiv_version: 2506.10711v2 · doi: 10.48550/arxiv.2506.10711 · pith_short_12: 3BEBMHINFHBB · pith_short_16: 3BEBMHINFHBBJQWO · pith_short_8: 3BEBMHIN

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/3BEBMHINFHBBJQWO7AP5JGKXPU \
  | 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: d848161d0d29c214c2cef81fd499577d2b44b4726f80faa7929af23ab6908f88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71980d3379aab3eac8267fdf64208b09081286f2601829749a162f08a65d990b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2025-06-12T14:00:57Z",
    "title_canon_sha256": "170523c3e720b6470cf9d53348361218b08e89180836d817f735cce11df450fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10711",
    "kind": "arxiv",
    "version": 2
  }
}