Pith Number

pith:KO6VZRFC

pith:2013:KO6VZRFCBGSQWMUYCAWHOHY7UP

not attested not anchored not stored refs pending

Series for $1/\pi$ Using Legendre's Relation

James G. Wan

arxiv:1302.5984 v1 · 2013-02-25 · 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{KO6VZRFCBGSQWMUYCAWHOHY7UP}

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	2026-05-18T03:32:32.968807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53bd5cc4a209a50b3298102c771f1fa3e9df49bd8b9c7e9800c0e2901b93dbc8

Aliases

arxiv: 1302.5984 · arxiv_version: 1302.5984v1 · doi: 10.48550/arxiv.1302.5984 · pith_short_12: KO6VZRFCBGSQ · pith_short_16: KO6VZRFCBGSQWMUY · pith_short_8: KO6VZRFC

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/KO6VZRFCBGSQWMUYCAWHOHY7UP \
  | 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: 53bd5cc4a209a50b3298102c771f1fa3e9df49bd8b9c7e9800c0e2901b93dbc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1f1e3f1ee442bc62ee1054f2877d1b39a16ea9115fce9dfc6c32b2f9f4556b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-25T03:07:33Z",
    "title_canon_sha256": "6e5ffb570cacc9a381c4b71c3eb7059a00cdd5c807b98a7864c84a7782d93b93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5984",
    "kind": "arxiv",
    "version": 1
  }
}