Pith Number

pith:O7Y2JP5Y

pith:2025:O7Y2JP5YH6MY6F42QLG2MGBOZN

not attested not anchored not stored refs pending

Cholesky decomposition for symmetric matrices over finite fields

Prateek Kumar Vishwakarma

arxiv:2508.04657 v2 · 2025-08-06 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7Y2JP5YH6MY6F42QLG2MGBOZN}

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	2026-07-05T11:51:34.834956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f1a4bfb83f998f179a82cda6182ecb4d8ea8ba57c1cc0ad96dc4fcf26b3354

Aliases

arxiv: 2508.04657 · arxiv_version: 2508.04657v2 · doi: 10.48550/arxiv.2508.04657 · pith_short_12: O7Y2JP5YH6MY · pith_short_16: O7Y2JP5YH6MY6F42 · pith_short_8: O7Y2JP5Y

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/O7Y2JP5YH6MY6F42QLG2MGBOZN \
  | 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: 77f1a4bfb83f998f179a82cda6182ecb4d8ea8ba57c1cc0ad96dc4fcf26b3354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fe695460f69d91fe757d2696078f509f6a2a051022e842d14ac611f2936338d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-06T17:24:51Z",
    "title_canon_sha256": "7aea8485af3f8f154a620f67bdef60cd4318706207f23f9c3e03eb07e0f331cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04657",
    "kind": "arxiv",
    "version": 2
  }
}