Pith Number

pith:RJGDRYV4

pith:2018:RJGDRYV4OFGRO7AKG7G75PHWH3

not attested not anchored not stored refs pending

The irrationality measure of $\pi$ as seen through the eyes of $\cos(n)$

Erin P. J. Pearse, Sully F. Chen

arxiv:1807.02955 v3 · 2018-07-09 · 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{RJGDRYV4OFGRO7AKG7G75PHWH3}

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	2026-05-17T23:39:27.343204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a4c38e2bc714d177c0a37cdfebcf63ec6e2cf81d03a7251755d9cbfa2bbc7b1

Aliases

arxiv: 1807.02955 · arxiv_version: 1807.02955v3 · doi: 10.48550/arxiv.1807.02955 · pith_short_12: RJGDRYV4OFGR · pith_short_16: RJGDRYV4OFGRO7AK · pith_short_8: RJGDRYV4

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/RJGDRYV4OFGRO7AKG7G75PHWH3 \
  | 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: 8a4c38e2bc714d177c0a37cdfebcf63ec6e2cf81d03a7251755d9cbfa2bbc7b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbcbf12aba51d7da9a996929024c2a018620b5b8aba5cb6755a40308eefbf6b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-09T06:20:51Z",
    "title_canon_sha256": "1fe526d86cab0f7df075be17cb45201580ec16ad0ccfeed3c56faef2e60f67a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02955",
    "kind": "arxiv",
    "version": 3
  }
}