Pith Number

pith:34EFBH7P

pith:2024:34EFBH7PCGQVQGX3XTKZ3R3T5B

not attested not anchored not stored refs pending

Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles

Erxiao Wang, Junjie Shu, Yixi Liao

arxiv:2412.08492 v1 · 2024-12-11 · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34EFBH7PCGQVQGX3XTKZ3R3T5B}

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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

Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles

Receipt and verification

First computed	2026-07-05T09:47:51.089772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df08509fef11a1581afbbcd59dc773e86cce7791389583543903ddd7f70bedce

Aliases

arxiv: 2412.08492 · arxiv_version: 2412.08492v1 · doi: 10.48550/arxiv.2412.08492 · pith_short_12: 34EFBH7PCGQV · pith_short_16: 34EFBH7PCGQVQGX3 · pith_short_8: 34EFBH7P

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/34EFBH7PCGQVQGX3XTKZ3R3T5B \
  | 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: df08509fef11a1581afbbcd59dc773e86cce7791389583543903ddd7f70bedce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77c7e550a3b968b0b30c223891fb3136faa9332fc3124625dbb4be49bc5571f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-11T15:55:26Z",
    "title_canon_sha256": "4b4033f1aa5dc6be6db409b616e15afcb081855b852d771da5dd23f92f9b3496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08492",
    "kind": "arxiv",
    "version": 1
  }
}