Pith Number

pith:GYSKKMBA

pith:2022:GYSKKMBAHLK6ULKL5QCPEZ2DJ3

not attested not anchored not stored refs pending

Global and Local Bounds on the Fundamental Ratio of Triangles and Quadrilaterals

Ryan Arbon

arxiv:2207.05814 v1 · 2022-07-12 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYSKKMBAHLK6ULKL5QCPEZ2DJ3}

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	2026-07-05T04:39:51.804236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3624a530203ad5ea2d4bec04f267434ef7cd1cef9b333da4c439cb5a8a892b49

Aliases

arxiv: 2207.05814 · arxiv_version: 2207.05814v1 · doi: 10.48550/arxiv.2207.05814 · pith_short_12: GYSKKMBAHLK6 · pith_short_16: GYSKKMBAHLK6ULKL · pith_short_8: GYSKKMBA

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/GYSKKMBAHLK6ULKL5QCPEZ2DJ3 \
  | 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: 3624a530203ad5ea2d4bec04f267434ef7cd1cef9b333da4c439cb5a8a892b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29e7d33ee23c75ee2f8fbe523c459578e3a4dbcb615e66072cdf227fa5d59d71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2022-07-12T20:21:34Z",
    "title_canon_sha256": "80692f7a6c37dbbe1c0b0b545d706ae6c4fb7abe173de9303316135b5500268c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05814",
    "kind": "arxiv",
    "version": 1
  }
}