Pith Number

pith:6Q4NYULV

pith:2013:6Q4NYULVP5LXB5RLXJFCUN37FR

not attested not anchored not stored refs pending

Some identities of q-Bernoulli numbers associated p-adic convolutions

J. J. Seo, S. H. Lee, T. Kim

arxiv:1307.0360 v1 · 2013-07-01 · 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{6Q4NYULVP5LXB5RLXJFCUN37FR}

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	2026-05-18T03:19:33.578527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f438dc51757f5770f62bba4a2a377f2c70c551205d7b9b50a309de1ccab9ba6a

Aliases

arxiv: 1307.0360 · arxiv_version: 1307.0360v1 · doi: 10.48550/arxiv.1307.0360 · pith_short_12: 6Q4NYULVP5LX · pith_short_16: 6Q4NYULVP5LXB5RL · pith_short_8: 6Q4NYULV

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/6Q4NYULVP5LXB5RLXJFCUN37FR \
  | 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: f438dc51757f5770f62bba4a2a377f2c70c551205d7b9b50a309de1ccab9ba6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89841ff0d7ec516ab19c7d19719c85a422736e553d3a0b38aa0cdbcf64bacde3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-01T13:17:44Z",
    "title_canon_sha256": "7a0c3268eec3c1a1515ded8290bcddafcc72ac929308a171c8327fd896f2d6ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0360",
    "kind": "arxiv",
    "version": 1
  }
}