Pith Number

pith:RWGUZAOW

pith:2019:RWGUZAOWL3GJA6QFXBQBDESZEI

not attested not anchored not stored refs pending

A new family of series expansions for $1/\pi$ and a binomial identity

J. Sesma

arxiv:1907.03188 v1 · 2019-07-06 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWGUZAOWL3GJA6QFXBQBDESZEI}

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	2026-05-17T23:41:18.682651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d8d4c81d65ecc907a05b86011925922308cdc6d5e106268b379a36b4177bdce

Aliases

arxiv: 1907.03188 · arxiv_version: 1907.03188v1 · doi: 10.48550/arxiv.1907.03188 · pith_short_12: RWGUZAOWL3GJ · pith_short_16: RWGUZAOWL3GJA6QF · pith_short_8: RWGUZAOW

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/RWGUZAOWL3GJA6QFXBQBDESZEI \
  | 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: 8d8d4c81d65ecc907a05b86011925922308cdc6d5e106268b379a36b4177bdce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d936382e4cec414209a5cc97aeb363d8d8662d8b27629f52e06e5a0ec6b58e5",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-06T21:06:36Z",
    "title_canon_sha256": "2a3c0d6cc74f23f18d33e7c2c3118727a5647726ba7ae0dd0ee4f281039241f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03188",
    "kind": "arxiv",
    "version": 1
  }
}