Pith Number

pith:6M5VBHYP

pith:2012:6M5VBHYPPGYZ45X3PCHMBPBMMD

not attested not anchored not stored refs pending

Triangle Tiling: The case $3\alpha + 2\beta = \pi$

Michael Beeson

arxiv:1206.2229 v3 · 2012-06-05 · 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{6M5VBHYPPGYZ45X3PCHMBPBMMD}

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.

Cited by

1 paper in Pith

Solution of Erd\H{o}s Problem 633

Receipt and verification

First computed	2026-05-17T23:54:07.949480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f33b509f0f79b19e76fb788ec0bc2c60e01eef1e3d9c103602c4430437db9efe

Aliases

arxiv: 1206.2229 · arxiv_version: 1206.2229v3 · doi: 10.48550/arxiv.1206.2229 · pith_short_12: 6M5VBHYPPGYZ · pith_short_16: 6M5VBHYPPGYZ45X3 · pith_short_8: 6M5VBHYP

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/6M5VBHYPPGYZ45X3PCHMBPBMMD \
  | 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: f33b509f0f79b19e76fb788ec0bc2c60e01eef1e3d9c103602c4430437db9efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "626ecbf3e94bf656ad9fff81ebb712352339e846875469e18fe6cf8b8fa32653",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-06-05T01:28:00Z",
    "title_canon_sha256": "fc7d5f02a3796b0b7f356279680ce808e5e25586d43baf8722af478208246d8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2229",
    "kind": "arxiv",
    "version": 3
  }
}