Pith Number

pith:VZGCT26H

pith:2026:VZGCT26HLTRAF5B27VSY5XKUQG

not attested not anchored not stored refs pending

Dihedral Tilings of the Sphere by Kites and Regular Polygons

Hoi Ping Luk, Kam Hang Cheng, Robert Barish

arxiv:2607.06798 v1 · 2026-07-07 · math.CO · 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{VZGCT26HLTRAF5B27VSY5XKUQG}

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	2026-07-09T00:19:27.985385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae4c29ebc75ce202f43afd658edd54818b7d6f4c4e8671e07cf4f250bb302fab

Aliases

arxiv: 2607.06798 · arxiv_version: 2607.06798v1 · doi: 10.48550/arxiv.2607.06798 · pith_short_12: VZGCT26HLTRA · pith_short_16: VZGCT26HLTRAF5B2 · pith_short_8: VZGCT26H

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/VZGCT26HLTRAF5B27VSY5XKUQG \
  | 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: ae4c29ebc75ce202f43afd658edd54818b7d6f4c4e8671e07cf4f250bb302fab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f96578d4a1bd416da39084b2403ab2a9e4760895f91146c1157a8865c3f47593",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-07T20:52:38Z",
    "title_canon_sha256": "f99c5391f3c629df0c6433e097fbf1358c6048ac7db81d79927ab9b5c45f0dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06798",
    "kind": "arxiv",
    "version": 1
  }
}