Pith Number

pith:KHZ4I7W2

pith:2015:KHZ4I7W2TKISUOL2T3XTI64WK2

not attested not anchored not stored refs pending

Fast exact summation using small and large superaccumulators

Radford M. Neal

arxiv:1505.05571 v1 · 2015-05-21 · cs.NA · cs.DC · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHZ4I7W2TKISUOL2T3XTI64WK2}

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	2026-05-18T02:03:54.151844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f3c47eda9a912a397a9eef347b9656919012e8c4a008e610797f5dbc40ea3b

Aliases

arxiv: 1505.05571 · arxiv_version: 1505.05571v1 · doi: 10.48550/arxiv.1505.05571 · pith_short_12: KHZ4I7W2TKIS · pith_short_16: KHZ4I7W2TKISUOL2 · pith_short_8: KHZ4I7W2

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/KHZ4I7W2TKISUOL2T3XTI64WK2 \
  | 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: 51f3c47eda9a912a397a9eef347b9656919012e8c4a008e610797f5dbc40ea3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26005704186e15c687fde7ee7a5ac9661b5d237543fc30549018bd3cd8c4be66",
    "cross_cats_sorted": [
      "cs.DC",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2015-05-21T01:17:04Z",
    "title_canon_sha256": "3d09bdb317bb2ae53b6ec6f53fab35c16b7d076711f5a76d3fefffabb889c1c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05571",
    "kind": "arxiv",
    "version": 1
  }
}