Pith Number

pith:V6262LAB

pith:2017:V6262LABIUQIXSLQYMXWRXATJA

not attested not anchored not stored refs pending

Profinite extensions of centralizers and the profinite completion of limit groups

Pavel Zalesskii, Theo Zapata

arxiv:1711.01500 v1 · 2017-11-04 · 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{V6262LABIUQIXSLQYMXWRXATJA}

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	2026-05-18T00:31:17.638168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb5ed2c0145208bc970c32f68dc13481517a28d5b20004391f5e77356f639ca

Aliases

arxiv: 1711.01500 · arxiv_version: 1711.01500v1 · doi: 10.48550/arxiv.1711.01500 · pith_short_12: V6262LABIUQI · pith_short_16: V6262LABIUQIXSLQ · pith_short_8: V6262LAB

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/V6262LABIUQIXSLQYMXWRXATJA \
  | 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: afb5ed2c0145208bc970c32f68dc13481517a28d5b20004391f5e77356f639ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4895dbfcb2a9be844c647bf3799f30893b63f49155be96e8f9480fcf3766badf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-04T22:19:19Z",
    "title_canon_sha256": "12502f9721ab514fd284b91eebcc3603b8702d6c3dd198411abacd7a144384b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01500",
    "kind": "arxiv",
    "version": 1
  }
}