Pith Number

pith:L65ZM6CP

pith:2007:L65ZM6CPI5AYSOEKFIIVGWW5Z4

not attested not anchored not stored refs pending

Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials

Khristo N. Boyadzhiev

arxiv:0710.1124 v1 · 2007-10-05 · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L65ZM6CPI5AYSOEKFIIVGWW5Z4}

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	2026-05-18T01:02:59.766039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fbb96784f474189388a2a11535addcf33ea881ef05febffd3e8a7f47caf911f

Aliases

arxiv: 0710.1124 · arxiv_version: 0710.1124v1 · doi: 10.48550/arxiv.0710.1124 · pith_short_12: L65ZM6CPI5AY · pith_short_16: L65ZM6CPI5AYSOEK · pith_short_8: L65ZM6CP

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/L65ZM6CPI5AYSOEKFIIVGWW5Z4 \
  | 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: 5fbb96784f474189388a2a11535addcf33ea881ef05febffd3e8a7f47caf911f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c30f3c4aadc1b59b732b84086dcc271b3bddc0a6748c723e7df55a4a1b7fcf",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-10-05T02:43:46Z",
    "title_canon_sha256": "f26fce106e1f6a9a58b5ee08681976c8642cf865af8d367f3e4ab73f3696fd0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1124",
    "kind": "arxiv",
    "version": 1
  }
}