Pith Number

pith:46OZT5X5

pith:2023:46OZT5X542QKAJNNPCQITRNI2K

not attested not anchored not stored refs pending

An example of an infinite amenable group with the ISR property

Xiaoyan Zhou, Yongle Jiang

arxiv:2312.08061 v2 · 2023-12-13 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46OZT5X542QKAJNNPCQITRNI2K}

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	2026-07-05T08:03:46.792043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e79d99f6fde6a0a025ad78a089c5a8d2921cf7f60e1ec147b73f6500369edffe

Aliases

arxiv: 2312.08061 · arxiv_version: 2312.08061v2 · doi: 10.48550/arxiv.2312.08061 · pith_short_12: 46OZT5X542QK · pith_short_16: 46OZT5X542QKAJNN · pith_short_8: 46OZT5X5

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/46OZT5X542QKAJNNPCQITRNI2K \
  | 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: e79d99f6fde6a0a025ad78a089c5a8d2921cf7f60e1ec147b73f6500369edffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94ec679eec1bf2829d1dfa93738ec92d9073cf107da2a7c10523123fd0890713",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-12-13T11:16:41Z",
    "title_canon_sha256": "79346963efe24a4e158f55b82c5bf88479d6a458064ca941af1a5cf4a93d59e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.08061",
    "kind": "arxiv",
    "version": 2
  }
}