Pith Number

pith:HRS325GM

pith:2025:HRS325GMEDDS4XASPKL3I4ET3N

not attested not anchored not stored refs pending

On Stochastic Rounding with Few Random Bits

Andrew Fitzgibbon, Stephen Felix

arxiv:2504.20634 v1 · 2025-04-29 · math.NA · cs.AI · cs.LG · cs.MS · 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{HRS325GMEDDS4XASPKL3I4ET3N}

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	2026-07-05T10:55:45.979650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c65bd74cc20c72e5c127a97b47093db4fdace1815301c9953e13093810eb691

Aliases

arxiv: 2504.20634 · arxiv_version: 2504.20634v1 · doi: 10.48550/arxiv.2504.20634 · pith_short_12: HRS325GMEDDS · pith_short_16: HRS325GMEDDS4XAS · pith_short_8: HRS325GM

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/HRS325GMEDDS4XASPKL3I4ET3N \
  | 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: 3c65bd74cc20c72e5c127a97b47093db4fdace1815301c9953e13093810eb691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4895ea63427a3c4a0ae0c020e3afee012af7b155492b8d31864ade986c9afc35",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.MS",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-04-29T11:04:25Z",
    "title_canon_sha256": "dfc1c3b7611c0034ea5265f628e6451bca4f1fd9b5415186935a3147777b85e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20634",
    "kind": "arxiv",
    "version": 1
  }
}