Pith Number

pith:RM7MRZ7E

pith:2013:RM7MRZ7EFWUJC6LD55MH6Z2MHR

not attested not anchored not stored refs pending

Words and pronilpotent subgroups in profinite groups

E. I. Khukhro, P. Shumyatsky

arxiv:1312.2152 v3 · 2013-12-07 · 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{RM7MRZ7EFWUJC6LD55MH6Z2MHR}

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	2026-05-18T02:42:28.544333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b3ec8e7e42da8917963ef587f674c3c5a0e1ffc5202ea68784e7b8a666f4d4c

Aliases

arxiv: 1312.2152 · arxiv_version: 1312.2152v3 · doi: 10.48550/arxiv.1312.2152 · pith_short_12: RM7MRZ7EFWUJ · pith_short_16: RM7MRZ7EFWUJC6LD · pith_short_8: RM7MRZ7E

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/RM7MRZ7EFWUJC6LD55MH6Z2MHR \
  | 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: 8b3ec8e7e42da8917963ef587f674c3c5a0e1ffc5202ea68784e7b8a666f4d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da8339ab012ab4c40bffaa610804264357dfb04bd30b8696e79d8f0394c0144",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-07T23:23:00Z",
    "title_canon_sha256": "3a3b3c7c5743f44ceeff2573f34c2ffe95d43f109fc7a647b53804139c669631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2152",
    "kind": "arxiv",
    "version": 3
  }
}