Pith Number

pith:OMFJYI5T

pith:2026:OMFJYI5TPM2EDASZUDZEQJXFGK

not attested not anchored not stored refs pending

A Reversibility Characterization of Locally Finite Groups by Cellular Automata

Jiang Yang

arxiv:2606.29958 v1 · 2026-06-29 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMFJYI5TPM2EDASZUDZEQJXFGK}

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	2026-06-30T02:17:42.744155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

730a9c23b37b34418259a0f24826e532b989bb2412cb8997d69f8a14d329d59c

Aliases

arxiv: 2606.29958 · arxiv_version: 2606.29958v1 · doi: 10.48550/arxiv.2606.29958 · pith_short_12: OMFJYI5TPM2E · pith_short_16: OMFJYI5TPM2EDASZ · pith_short_8: OMFJYI5T

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/OMFJYI5TPM2EDASZUDZEQJXFGK \
  | 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: 730a9c23b37b34418259a0f24826e532b989bb2412cb8997d69f8a14d329d59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d61deb26dbee833fa34cf3879adbc8c0244d2c2b49d7bafe3a2a4bd226cbce52",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-29T08:35:57Z",
    "title_canon_sha256": "5e00ac0387b229e9c6452b47fcb718d5b948b935ab62ada0c008d3f81182d598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29958",
    "kind": "arxiv",
    "version": 1
  }
}