Pith Number

pith:G4C3U4PF

pith:2025:G4C3U4PFUZDVA3QYW55ZONFU6V

not attested not anchored not stored refs pending

On the Pre-Asymptotic Stability and Inverse Structure of Extended-Domain Spectral Methods

Po-Yi Wu

arxiv:2509.08745 v4 · 2025-09-10 · 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{G4C3U4PFUZDVA3QYW55ZONFU6V}

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	2026-06-10T01:09:42.862192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3705ba71e5a647506e18b77b9734b4f560bafa51068d24914981c84642499511

Aliases

arxiv: 2509.08745 · arxiv_version: 2509.08745v4 · doi: 10.48550/arxiv.2509.08745 · pith_short_12: G4C3U4PFUZDV · pith_short_16: G4C3U4PFUZDVA3QY · pith_short_8: G4C3U4PF

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/G4C3U4PFUZDVA3QYW55ZONFU6V \
  | 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: 3705ba71e5a647506e18b77b9734b4f560bafa51068d24914981c84642499511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adb4cd46d55595511b7f8ddb013e117f04b0d0c256924e5f76d108d7a7204612",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-09-10T16:36:20Z",
    "title_canon_sha256": "8363a3ccbe712aef4c5427e7f6fdc1fa480dd89948f992d587b02db21c53ac16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08745",
    "kind": "arxiv",
    "version": 4
  }
}