Pith Number

pith:KBF3DJSY

pith:2009:KBF3DJSYVMNXQGF2RDAFMPTFWC

not attested not anchored not stored refs pending

Evaluation of some simple Euler-type series

Khristo N. Boyadzhiev

arxiv:0912.3227 v1 · 2009-12-16 · math.NT · 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{KBF3DJSYVMNXQGF2RDAFMPTFWC}

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	2026-05-18T01:02:59.713564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

504bb1a658ab1b7818ba88c0563e65b08fce6bab8fc20074b0051c0690abbf19

Aliases

arxiv: 0912.3227 · arxiv_version: 0912.3227v1 · doi: 10.48550/arxiv.0912.3227 · pith_short_12: KBF3DJSYVMNX · pith_short_16: KBF3DJSYVMNXQGF2 · pith_short_8: KBF3DJSY

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/KBF3DJSYVMNXQGF2RDAFMPTFWC \
  | 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: 504bb1a658ab1b7818ba88c0563e65b08fce6bab8fc20074b0051c0690abbf19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d48058afc61a444365480207bd5d74b8f4d2a829532ee682e3b3c91f6b99fad",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-12-16T18:56:23Z",
    "title_canon_sha256": "e6b18a1f625cfead2a5a7ff31f8fa0308837fe0da60e276d02ec3fcdc5472925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3227",
    "kind": "arxiv",
    "version": 1
  }
}