Pith Number

pith:CPALNHD2

pith:2025:CPALNHD2LJCOJLBJPJWS5WZVRI

not attested not anchored not stored refs pending

Non-side-to-side tilings of the sphere by congruent triangles with any irrational angle

Erxiao Wang, Jinjin Liang, Wen Chen

arxiv:2505.16629 v1 · 2025-05-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPALNHD2LJCOJLBJPJWS5WZVRI}

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	2026-07-05T11:07:38.327478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c0b69c7a5a44e4ac297a6d2edb358a2e02a6c7f4555c3d270fdc21a3cf4f96

Aliases

arxiv: 2505.16629 · arxiv_version: 2505.16629v1 · doi: 10.48550/arxiv.2505.16629 · pith_short_12: CPALNHD2LJCO · pith_short_16: CPALNHD2LJCOJLBJ · pith_short_8: CPALNHD2

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/CPALNHD2LJCOJLBJPJWS5WZVRI \
  | 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: 13c0b69c7a5a44e4ac297a6d2edb358a2e02a6c7f4555c3d270fdc21a3cf4f96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dbefac5657b460cc21c1ab5e5788f62d3e189844dbff2842afceace21c7e058",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-22T13:00:42Z",
    "title_canon_sha256": "c42cb8d64e65d802084183cbde8a8c18ebc72745c480e24d80b59863ee021850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16629",
    "kind": "arxiv",
    "version": 1
  }
}