Pith Number

pith:BYND3TCK

pith:2018:BYND3TCKLLLFMHVDRQT7SSMMCC

not attested not anchored not stored refs pending

New error bounds for Boole's rule

Mateusz Krukowski

arxiv:1808.02803 v2 · 2018-08-08 · math.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{BYND3TCKLLLFMHVDRQT7SSMMCC}

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	2026-05-18T00:08:20.222220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e1a3dcc4a5ad6561ea38c27f9498c109281fa1d8825a75f02dbd340a7fb561a

Aliases

arxiv: 1808.02803 · arxiv_version: 1808.02803v2 · doi: 10.48550/arxiv.1808.02803 · pith_short_12: BYND3TCKLLLF · pith_short_16: BYND3TCKLLLFMHVD · pith_short_8: BYND3TCK

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/BYND3TCKLLLFMHVDRQT7SSMMCC \
  | 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: 0e1a3dcc4a5ad6561ea38c27f9498c109281fa1d8825a75f02dbd340a7fb561a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40e97c1e57aa7c3a7065cbaf4322ed4dd3ec9e3a1f4b1bc50d1d24d205c90856",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-08T14:41:21Z",
    "title_canon_sha256": "e266b0e46272a2f107ffa63ce0689f3c4c465e156e46fafbd64b6d5b5e73f5a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02803",
    "kind": "arxiv",
    "version": 2
  }
}