Pith Number

pith:F7GITONW

pith:2011:F7GITONWQJ5AIQ3OMQHLZ7DCUZ

not attested not anchored not stored refs pending

Finite-state self-similar actions of nilpotent groups

Ievgen Bondarenko, Rostyslav Kravchenko

arxiv:1105.4969 v2 · 2011-05-25 · 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{F7GITONWQJ5AIQ3OMQHLZ7DCUZ}

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	2026-05-18T02:43:59.509935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fcc89b9b6827a04436e640ebcfc62a674b914ac019d9e5bf890269a31a0d536

Aliases

arxiv: 1105.4969 · arxiv_version: 1105.4969v2 · doi: 10.48550/arxiv.1105.4969 · pith_short_12: F7GITONWQJ5A · pith_short_16: F7GITONWQJ5AIQ3O · pith_short_8: F7GITONW

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/F7GITONWQJ5AIQ3OMQHLZ7DCUZ \
  | 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: 2fcc89b9b6827a04436e640ebcfc62a674b914ac019d9e5bf890269a31a0d536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3295751e29e2901502f0107e6538e2007193155107ed5a7309c9674dd1f311fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-25T09:10:34Z",
    "title_canon_sha256": "675448ec43b07a63e46a56a1a5945deaa489c07ed80b3027095b74d9395cca08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4969",
    "kind": "arxiv",
    "version": 2
  }
}