Pith Number

pith:JE67LS3P

pith:2008:JE67LS3PFIDK46ZDVHBT27FXUS

not attested not anchored not stored refs pending

Normal Subgroups of Profinite Groups of Non-negative Deficiency

Aline G.S. Pinto, Andrei Jaikin-Zapirain, Fritz Grunewald, Pavel A. Zalesski

arxiv:0810.2027 v2 · 2008-10-11 · 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{JE67LS3PFIDK46ZDVHBT27FXUS}

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	2026-05-18T04:19:33.633152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

493df5cb6f2a06ae7b23a9c33d7cb7a4907cb1daa6cc135eaad4deea79ae2bb3

Aliases

arxiv: 0810.2027 · arxiv_version: 0810.2027v2 · doi: 10.48550/arxiv.0810.2027 · pith_short_12: JE67LS3PFIDK · pith_short_16: JE67LS3PFIDK46ZD · pith_short_8: JE67LS3P

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/JE67LS3PFIDK46ZDVHBT27FXUS \
  | 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: 493df5cb6f2a06ae7b23a9c33d7cb7a4907cb1daa6cc135eaad4deea79ae2bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b61de4732e4c39ee24e6a85c2a33b2f7b448d6eddb97e129b211e5b5d830d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-10-11T13:52:04Z",
    "title_canon_sha256": "12593e440575938c9ee53b145714374361fc327d608e2dec5a2a34f260cd26ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2027",
    "kind": "arxiv",
    "version": 2
  }
}