Pith Number

pith:AD6DB4QL

pith:2025:AD6DB4QLTCUSJVWLQDCFDY2FGL

not attested not anchored not stored refs pending

Forward and backward error bounds for a mixed precision preconditioned conjugate gradient algorithm

Erin Carson, Thomas Bake, Yuxin Ma

arxiv:2510.11379 v3 · 2025-10-13 · 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{AD6DB4QLTCUSJVWLQDCFDY2FGL}

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	2026-07-22T01:22:14.559004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00fc30f20b98a924d6cb80c451e34532f13ba05c6f48ebb7abc4f6c168fd55d3

Aliases

arxiv: 2510.11379 · arxiv_version: 2510.11379v3 · doi: 10.48550/arxiv.2510.11379 · pith_short_12: AD6DB4QLTCUS · pith_short_16: AD6DB4QLTCUSJVWL · pith_short_8: AD6DB4QL

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/AD6DB4QLTCUSJVWLQDCFDY2FGL \
  | 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: 00fc30f20b98a924d6cb80c451e34532f13ba05c6f48ebb7abc4f6c168fd55d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "392d32864d77358e12d3dec0865adcd74d63689475ee0ea7b2be6865402904d2",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-10-13T13:21:02Z",
    "title_canon_sha256": "59a8dbf1ae64030858f607bd4f5cef384c1f443d6260636a2cdabc96d2fc1623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.11379",
    "kind": "arxiv",
    "version": 3
  }
}