Pith Number

pith:QRFUPVQE

pith:2017:QRFUPVQEYDLPAH5RQBJFLD3TRF

not attested not anchored not stored refs pending

Words, Hausdorff dimension and randomly free groups

Aner Shalev, Michael Larsen

arxiv:1706.08226 v1 · 2017-06-26 · 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{QRFUPVQEYDLPAH5RQBJFLD3TRF}

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	2026-05-18T00:41:43.151167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

844b47d604c0d6f01fb18052558f73896666929bc747c9d19220ae8991095619

Aliases

arxiv: 1706.08226 · arxiv_version: 1706.08226v1 · doi: 10.48550/arxiv.1706.08226 · pith_short_12: QRFUPVQEYDLP · pith_short_16: QRFUPVQEYDLPAH5R · pith_short_8: QRFUPVQE

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/QRFUPVQEYDLPAH5RQBJFLD3TRF \
  | 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: 844b47d604c0d6f01fb18052558f73896666929bc747c9d19220ae8991095619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edb81a59aaf016c3db03151533a8e9f9ef95ef406c78b3b2279bb34f7d464ba9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-26T04:27:01Z",
    "title_canon_sha256": "fde15359e5e9a7af7929deb71cf8144dec920bc6fdf5f26824ff621d5ae947d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08226",
    "kind": "arxiv",
    "version": 1
  }
}