Pith Number

pith:RIFQBUYC

pith:2019:RIFQBUYC4MJP5G3ZWMXMMSXJMC

not attested not anchored not stored refs pending

Bernoulli and Euler numbers from divergent series

Sergio A. Carrillo

arxiv:1903.09228 v1 · 2019-03-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIFQBUYC4MJP5G3ZWMXMMSXJMC}

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	2026-05-17T23:50:40.285964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a0b00d302e312fe9b79b32ec64ae960afa38376d9a43e6ae0eef70bbdd38864

Aliases

arxiv: 1903.09228 · arxiv_version: 1903.09228v1 · doi: 10.48550/arxiv.1903.09228 · pith_short_12: RIFQBUYC4MJP · pith_short_16: RIFQBUYC4MJP5G3Z · pith_short_8: RIFQBUYC

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/RIFQBUYC4MJP5G3ZWMXMMSXJMC \
  | 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: 8a0b00d302e312fe9b79b32ec64ae960afa38376d9a43e6ae0eef70bbdd38864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5168fde1d0de41304ef6147c3a1c8a5d273247efc273376de8ac89901a00a8c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-03-21T20:27:04Z",
    "title_canon_sha256": "775cfd957b6d75295d8947ecc71e0621d316ed5e6edd929a3c450579b97f76a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09228",
    "kind": "arxiv",
    "version": 1
  }
}