Pith Number

pith:ABKY7L4B

pith:2026:ABKY7L4BMVAH7LLR74AYRGZW6V

not attested not anchored not stored refs pending

Stochastic Rounding Increases Small Singular Values

Linkai Ma, Petros Drineas, Tingzhou Yu

arxiv:2606.00312 v1 · 2026-05-29 · math.NA · cs.LG · 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{ABKY7L4BMVAH7LLR74AYRGZW6V}

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	2026-06-02T01:03:51.367950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00558faf8165407fad71ff01889b36f5452ccdc153c7448ae20075b911bce838

Aliases

arxiv: 2606.00312 · arxiv_version: 2606.00312v1 · doi: 10.48550/arxiv.2606.00312 · pith_short_12: ABKY7L4BMVAH · pith_short_16: ABKY7L4BMVAH7LLR · pith_short_8: ABKY7L4B

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/ABKY7L4BMVAH7LLR74AYRGZW6V \
  | 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: 00558faf8165407fad71ff01889b36f5452ccdc153c7448ae20075b911bce838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a4bebcebc9f8f97f21c6990519163d1ce3447e499d97a1f2e82690a4907fe0",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-29T19:36:08Z",
    "title_canon_sha256": "9b2ba8af33369e65146e4696398e5ccd62a2364e117e65be9040c49ed7933165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00312",
    "kind": "arxiv",
    "version": 1
  }
}