Pith Number

pith:S5Z2HDU7

pith:2018:S5Z2HDU7RIMOBH355NKQPR6AW4

not attested not anchored not stored refs pending

Extensions of automorphisms of self-similar groups

Francesco Matucci, Pedro V. Silva

arxiv:1806.09560 v2 · 2018-06-25 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5Z2HDU7RIMOBH355NKQPR6AW4}

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	2026-05-17T23:49:22.426814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9773a38e9f8a18e09f7deb5507c7c0b704903ec4e3648a95be9b6daf21980cac

Aliases

arxiv: 1806.09560 · arxiv_version: 1806.09560v2 · doi: 10.48550/arxiv.1806.09560 · pith_short_12: S5Z2HDU7RIMO · pith_short_16: S5Z2HDU7RIMOBH35 · pith_short_8: S5Z2HDU7

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/S5Z2HDU7RIMOBH355NKQPR6AW4 \
  | 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: 9773a38e9f8a18e09f7deb5507c7c0b704903ec4e3648a95be9b6daf21980cac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb90e5f3b8712af342b4d5c54b922985592d7ff3bb86b4793216802d23287db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-06-25T16:47:15Z",
    "title_canon_sha256": "34ba1bd6493f58a2eadd2e0939823c4d89c756e681608acc0e03a8d363f49af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09560",
    "kind": "arxiv",
    "version": 2
  }
}