Pith Number

pith:U45SYGSE

pith:2024:U45SYGSERNWM2XI4ZPTGKMY6V3

not attested not anchored not stored refs pending

Probabilistic error analysis of limited-precision stochastic rounding

El-Mehdi El Arar (TARAN), Mantas Mikaitis, Massimiliano Fasi, Silviu-Ioan Filip (TARAN)

arxiv:2408.03069 v3 · 2024-08-06 · 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{U45SYGSERNWM2XI4ZPTGKMY6V3}

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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.

Cited by

1 paper in Pith

On Stochastic Rounding with Few Random Bits

Receipt and verification

First computed	2026-07-05T10:19:26.777588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a73b2c1a448b6ccd5d1ccbe665331eaed40fb44cf52d9348952f979caf23ea39

Aliases

arxiv: 2408.03069 · arxiv_version: 2408.03069v3 · doi: 10.48550/arxiv.2408.03069 · pith_short_12: U45SYGSERNWM · pith_short_16: U45SYGSERNWM2XI4 · pith_short_8: U45SYGSE

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/U45SYGSERNWM2XI4ZPTGKMY6V3 \
  | 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: a73b2c1a448b6ccd5d1ccbe665331eaed40fb44cf52d9348952f979caf23ea39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785cfc82c20fed758239337e8341a771c148cdc81749bb7bd2fd80a93f26bfca",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-08-06T09:54:21Z",
    "title_canon_sha256": "5e8a6d14608b3cc76b1caf7b0fd4163b8fbe703e958f83872b634e40d4c2c122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.03069",
    "kind": "arxiv",
    "version": 3
  }
}