Pith Number

pith:XJYMOPQ5

pith:2015:XJYMOPQ5HMGKH4HIRLUH2IGSA2

not attested not anchored not stored refs pending

Some identities of Carlitz degenerate Bernoulli numbers and polynomials

Dae San Kim, Hyuck-In Kwon, Taekyun Kim

arxiv:1506.04269 v1 · 2015-06-13 · 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{XJYMOPQ5HMGKH4HIRLUH2IGSA2}

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	2026-05-18T01:49:55.056148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba70c73e1d3b0ca3f0e88ae87d20d2069c43db9aaff6eb02b6fc0ab929f341e1

Aliases

arxiv: 1506.04269 · arxiv_version: 1506.04269v1 · doi: 10.48550/arxiv.1506.04269 · pith_short_12: XJYMOPQ5HMGK · pith_short_16: XJYMOPQ5HMGKH4HI · pith_short_8: XJYMOPQ5

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/XJYMOPQ5HMGKH4HIRLUH2IGSA2 \
  | 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: ba70c73e1d3b0ca3f0e88ae87d20d2069c43db9aaff6eb02b6fc0ab929f341e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e14f7411e379a0d0235991cc313c7f65683039ef48d4727630098c27d35c974",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-13T13:56:55Z",
    "title_canon_sha256": "e1be1a3855f5c07c2d6ff3b46b0c322f837ce11f68f8ef27381aeb859367f6e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04269",
    "kind": "arxiv",
    "version": 1
  }
}