Pith Number

pith:R6HPOOBK

pith:2017:R6HPOOBK2IZFLKSY6GNEWQARB4

not attested not anchored not stored refs pending

On the subexponential growth of groups acting on rooted trees

Dominik Francoeur

arxiv:1702.08047 v1 · 2017-02-26 · 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{R6HPOOBK2IZFLKSY6GNEWQARB4}

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	2026-05-18T00:49:56.207023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f8ef7382ad23255aa58f19a4b40110f112a67a498446a75f6211322576f7c63

Aliases

arxiv: 1702.08047 · arxiv_version: 1702.08047v1 · doi: 10.48550/arxiv.1702.08047 · pith_short_12: R6HPOOBK2IZF · pith_short_16: R6HPOOBK2IZFLKSY · pith_short_8: R6HPOOBK

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/R6HPOOBK2IZFLKSY6GNEWQARB4 \
  | 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: 8f8ef7382ad23255aa58f19a4b40110f112a67a498446a75f6211322576f7c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d66f00506f1a6b7eef6d3f3c7e0814d494b70a8e94c6f5733c6931301210980a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-26T15:35:19Z",
    "title_canon_sha256": "438a30de087326f9262ea1389305c0e9a7632fec534e7d18adfb1abc07ad2780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08047",
    "kind": "arxiv",
    "version": 1
  }
}