Pith Number

pith:HYRUXVED

pith:2011:HYRUXVED6ZO6XXHTOGHZQ5NKB6

not attested not anchored not stored refs pending

Growth of Schreier graphs of automaton groups

Ievgen Bondarenko

arxiv:1101.3200 v2 · 2011-01-17 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYRUXVED6ZO6XXHTOGHZQ5NKB6}

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	2026-05-18T02:43:59.542433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e234bd483f65debdcf3718f9875aa0fb860194d42fad37f61ba4319ac22b471

Aliases

arxiv: 1101.3200 · arxiv_version: 1101.3200v2 · doi: 10.48550/arxiv.1101.3200 · pith_short_12: HYRUXVED6ZO6 · pith_short_16: HYRUXVED6ZO6XXHT · pith_short_8: HYRUXVED

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/HYRUXVED6ZO6XXHTOGHZQ5NKB6 \
  | 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: 3e234bd483f65debdcf3718f9875aa0fb860194d42fad37f61ba4319ac22b471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f28d7ddc746c739047375ab4a3133329e4169de0802de69b335deab50f87f36",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-17T13:09:21Z",
    "title_canon_sha256": "eca47459bb61af3bedf94fb5f09146711cc8f4812dedd86c1426498d2a75c043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3200",
    "kind": "arxiv",
    "version": 2
  }
}