Pith Number

pith:FQ4POZBL

pith:2015:FQ4POZBLYEA5CURCLG7A3GWYNL

not attested not anchored not stored refs pending

New hypergeometric formulae to $\pi$ arising from M. Roberts hyperelliptic reductions

Daniele Ritelli, Giovanni Mingari Scarpello

arxiv:1507.06681 v2 · 2015-07-23 · 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{FQ4POZBLYEA5CURCLG7A3GWYNL}

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	2026-05-18T01:36:17.628056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c38f7642bc101d1522259be0d9ad86afef0dc6fd58bc0f37d4a1015798f2e05

Aliases

arxiv: 1507.06681 · arxiv_version: 1507.06681v2 · doi: 10.48550/arxiv.1507.06681 · pith_short_12: FQ4POZBLYEA5 · pith_short_16: FQ4POZBLYEA5CURC · pith_short_8: FQ4POZBL

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/FQ4POZBLYEA5CURCLG7A3GWYNL \
  | 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: 2c38f7642bc101d1522259be0d9ad86afef0dc6fd58bc0f37d4a1015798f2e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75454f142289351ceb4e95390c569dda3bc624988ddab05c43d1614dcc0cc046",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-23T21:01:41Z",
    "title_canon_sha256": "89d162fc725d1c6dae32166f46946946dd0b510ba1c138eecd59afc3a117111a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06681",
    "kind": "arxiv",
    "version": 2
  }
}