Pith Number

pith:KBRUHK5V

pith:2021:KBRUHK5VHWL5IDBVTJYZN3KNOT

not attested not anchored not stored refs pending

New type series for powers of $\pi$

Zhi-Wei Sun

arxiv:2110.03651 v8 · 2021-10-07 · math.NT · 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{KBRUHK5VHWL5IDBVTJYZN3KNOT}

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	2026-07-05T04:28:28.241739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506343abb53d97d40c359a7196ed4d74cf466d78209a4fc32382dde93bcba4ac

Aliases

arxiv: 2110.03651 · arxiv_version: 2110.03651v8 · doi: 10.48550/arxiv.2110.03651 · pith_short_12: KBRUHK5VHWL5 · pith_short_16: KBRUHK5VHWL5IDBV · pith_short_8: KBRUHK5V

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/KBRUHK5VHWL5IDBVTJYZN3KNOT \
  | 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: 506343abb53d97d40c359a7196ed4d74cf466d78209a4fc32382dde93bcba4ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9030742010ab66f6e5d16b8047f70aa5fcf6595c3a4211387479b34453b799cf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-10-07T17:41:22Z",
    "title_canon_sha256": "cb751576c819c8086e72acb969bd7318a60767ea59ae0317d7c5ac57ecadcd7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.03651",
    "kind": "arxiv",
    "version": 8
  }
}