Pith Number

pith:UPSBMZEX

pith:2018:UPSBMZEX4P27H6BHDJFZ2STQMZ

not attested not anchored not stored refs pending

On $q$-analogues of some series for $\pi$ and $\pi^2$

Christian Krattenthaler, Qing-Hu Hou, Zhi-Wei Sun

arxiv:1802.01506 v5 · 2018-02-05 · math.CO · 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{UPSBMZEX4P27H6BHDJFZ2STQMZ}

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	2026-05-17T23:54:03.107762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3e4166497e3f5f3f8271a4b9d4a706659ade6cd665ea2abbaf884150ff4f17a

Aliases

arxiv: 1802.01506 · arxiv_version: 1802.01506v5 · doi: 10.48550/arxiv.1802.01506 · pith_short_12: UPSBMZEX4P27 · pith_short_16: UPSBMZEX4P27H6BH · pith_short_8: UPSBMZEX

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/UPSBMZEX4P27H6BHDJFZ2STQMZ \
  | 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: a3e4166497e3f5f3f8271a4b9d4a706659ade6cd665ea2abbaf884150ff4f17a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb48657eab53c6c487875baac7f105bd4782028e068de87b81a203504dddab7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-05T16:44:37Z",
    "title_canon_sha256": "4fc4ba649ee99f1bfac6ec9aa38189318c150005d66be3af2bdab65d93848a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01506",
    "kind": "arxiv",
    "version": 5
  }
}