Pith Number

pith:S6WTBFXD

pith:2015:S6WTBFXDU433JJRVSAEMT6VT56

not attested not anchored not stored refs pending

Free subgroups of finitely generated free profinite groups

Mark Shusterman

arxiv:1501.01227 v1 · 2015-01-06 · 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{S6WTBFXDU433JJRVSAEMT6VT56}

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	2026-05-18T00:44:28.556708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ad3096e3a737b4a6359008c9fab3efa6f63a8c2a21371f57988abe31e018d8

Aliases

arxiv: 1501.01227 · arxiv_version: 1501.01227v1 · doi: 10.48550/arxiv.1501.01227 · pith_short_12: S6WTBFXDU433 · pith_short_16: S6WTBFXDU433JJRV · pith_short_8: S6WTBFXD

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/S6WTBFXDU433JJRVSAEMT6VT56 \
  | 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: 97ad3096e3a737b4a6359008c9fab3efa6f63a8c2a21371f57988abe31e018d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "372c890d5b31a6080d68e5d501d47462f3e3fb96f62948c34a0d23f37fe4a7bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-06T16:38:07Z",
    "title_canon_sha256": "38024d21f1078a27d9729c8ad36656cae797ca93c1da3350ee3f2cb45cab3b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01227",
    "kind": "arxiv",
    "version": 1
  }
}