Pith Number

pith:XUSAX6SD

pith:2026:XUSAX6SDKC35KXGW4XOJSQ7NVU

not attested not anchored not stored refs pending

An Integral-Based Framework for Preconditioning $f(A)b$

Gustavo Ramirez-Hidalgo

arxiv:2608.01003 v1 · 2026-08-02 · math.NA · cs.NA · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUSAX6SDKC35KXGW4XOJSQ7NVU}

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	2026-08-04T01:56:11.871579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd240bfa4350b7d55cd6e5dc9943edad2615bc8b9f92f3c57ef13895f4afc2e6

Aliases

arxiv: 2608.01003 · arxiv_version: 2608.01003v1 · doi: 10.48550/arxiv.2608.01003 · pith_short_12: XUSAX6SDKC35 · pith_short_16: XUSAX6SDKC35KXGW · pith_short_8: XUSAX6SD

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/XUSAX6SDKC35KXGW4XOJSQ7NVU \
  | 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: bd240bfa4350b7d55cd6e5dc9943edad2615bc8b9f92f3c57ef13895f4afc2e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85087c522d6f243866b9adf8389c0793b7aacad8068087cce36b7db9cf3bf259",
    "cross_cats_sorted": [
      "cs.NA",
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-08-02T05:14:02Z",
    "title_canon_sha256": "922cf1fca78b4f1427bf52cfffbf5bee24ded952d8927eaddb7124496190e716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01003",
    "kind": "arxiv",
    "version": 1
  }
}