Pith Number

pith:O5M7FADS

pith:2022:O5M7FADSXBU6VGUPE5YO2GCRDF

not attested not anchored not stored refs pending

Rational Angles and Tilings of the Sphere by Congruent Quadrilaterals

Hoi Ping Luk, Ho Man Cheung

arxiv:2204.02748 v3 · 2022-04-06 · math.CO · math.MG · 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{O5M7FADSXBU6VGUPE5YO2GCRDF}

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	2026-07-05T04:45:58.879171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7759f28072b869ea9a8f2770ed18511948ce4b3213ab5f9f6c18facc84a67152

Aliases

arxiv: 2204.02748 · arxiv_version: 2204.02748v3 · doi: 10.48550/arxiv.2204.02748 · pith_short_12: O5M7FADSXBU6 · pith_short_16: O5M7FADSXBU6VGUP · pith_short_8: O5M7FADS

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/O5M7FADSXBU6VGUPE5YO2GCRDF \
  | 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: 7759f28072b869ea9a8f2770ed18511948ce4b3213ab5f9f6c18facc84a67152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9108008a105ca6591e1d2e38ecb75b5ffd6a1383adff8e8a5651592037229319",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-04-06T11:44:30Z",
    "title_canon_sha256": "e0edfe48fc89ffc1ec2ba7d1bc20203a4df171d3b1aeb3856e769dee60b53075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.02748",
    "kind": "arxiv",
    "version": 3
  }
}