Pith Number

pith:3U7CQQRE

pith:2026:3U7CQQREJMUPSYEKZLA73BI7K3

not attested not anchored not stored refs pending

On the Arc Length of a Supercircle and a Hypergeometric Formulation of $\pi$

Brexys Linares, R. Omar Rodriguez, Yomber Montilla

arxiv:2607.04592 v1 · 2026-07-06 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3U7CQQREJMUPSYEKZLA73BI7K3}

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	2026-07-07T02:19:26.191919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd3e2842244b28f9608acac1fd851f56d75e878fa55bb61bd30f345fb061b411

Aliases

arxiv: 2607.04592 · arxiv_version: 2607.04592v1 · doi: 10.48550/arxiv.2607.04592 · pith_short_12: 3U7CQQREJMUP · pith_short_16: 3U7CQQREJMUPSYEK · pith_short_8: 3U7CQQRE

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/3U7CQQREJMUPSYEKZLA73BI7K3 \
  | 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: dd3e2842244b28f9608acac1fd851f56d75e878fa55bb61bd30f345fb061b411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58f84cb2db286e8616977b7a30e24a635a0ed812d308ff8beb27097fc95925a5",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-06T01:40:33Z",
    "title_canon_sha256": "9845dca4cf3aad2190c6cd92fa37f7201f54d58ac55c36212b95f1d8b3ebda95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04592",
    "kind": "arxiv",
    "version": 1
  }
}