Pith Number

pith:VBDBLVOO

pith:2021:VBDBLVOOHB27FZJHE3LGF63AER

not attested not anchored not stored refs pending

Tilings of the Sphere by Congruent Quadrilaterals with Exactly Two Equal Edges

Hoi Ping Luk, Ho Man Cheung

arxiv:2108.06574 v2 · 2021-08-14 · 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{VBDBLVOOHB27FZJHE3LGF63AER}

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	2026-07-05T03:11:14.274628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a84615d5ce3875f2e52726d662fb602466b680a1fbe8c55ed7b1e04f1b7d0bf4

Aliases

arxiv: 2108.06574 · arxiv_version: 2108.06574v2 · doi: 10.48550/arxiv.2108.06574 · pith_short_12: VBDBLVOOHB27 · pith_short_16: VBDBLVOOHB27FZJH · pith_short_8: VBDBLVOO

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/VBDBLVOOHB27FZJHE3LGF63AER \
  | 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: a84615d5ce3875f2e52726d662fb602466b680a1fbe8c55ed7b1e04f1b7d0bf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2d12997054c5c533342374a7ac7ab8b5c232a5e0b6b6f05b1204f2215c6a03c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-08-14T16:09:33Z",
    "title_canon_sha256": "7d05a638e3ac82dd018e578d890f09877c8c7fe9f086d7253cb3de18e5562bfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.06574",
    "kind": "arxiv",
    "version": 2
  }
}