Pith Number

pith:KBFS3UVR

pith:2013:KBFS3UVRYEAMRPTWAXQOXJUQ5J

not attested not anchored not stored refs pending

Ap\'ery's theorem and problems for the values of Riemann's zeta function and their $q$-analogues

Wadim Zudilin

arxiv:1312.6919 v1 · 2013-12-25 · math.NT · math.AG · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBFS3UVRYEAMRPTWAXQOXJUQ5J}

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	2026-05-18T03:03:46.459740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

504b2dd2b1c100c8be7605e0eba690ea61590fc25750fe555ab4a884bc0b719f

Aliases

arxiv: 1312.6919 · arxiv_version: 1312.6919v1 · doi: 10.48550/arxiv.1312.6919 · pith_short_12: KBFS3UVRYEAM · pith_short_16: KBFS3UVRYEAMRPTW · pith_short_8: KBFS3UVR

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/KBFS3UVRYEAMRPTWAXQOXJUQ5J \
  | 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: 504b2dd2b1c100c8be7605e0eba690ea61590fc25750fe555ab4a884bc0b719f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa18c4d662150cd9db8eea3e9fa5a84994adee145b7d8d8a89ce6591b5117a7a",
    "cross_cats_sorted": [
      "math.AG",
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-25T04:38:21Z",
    "title_canon_sha256": "3f88815558fc8c5e5a1cedf03f2356696719b00818b712c62c71354abefbe493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6919",
    "kind": "arxiv",
    "version": 1
  }
}