Pith Number

pith:J3BPDG6K

pith:2012:J3BPDG6KRFDERPWLIJQMABS7VS

not attested not anchored not stored refs pending

The profinite completion of a group localised at a subgroup

Colin D. Reid

arxiv:1208.3554 v3 · 2012-08-17 · 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{J3BPDG6KRFDERPWLIJQMABS7VS}

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	2026-05-18T01:34:13.816253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ec2f19bca894648becb4260c0065facace753d8d68e167c66b760ab4b36e489

Aliases

arxiv: 1208.3554 · arxiv_version: 1208.3554v3 · doi: 10.48550/arxiv.1208.3554 · pith_short_12: J3BPDG6KRFDE · pith_short_16: J3BPDG6KRFDERPWL · pith_short_8: J3BPDG6K

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/J3BPDG6KRFDERPWLIJQMABS7VS \
  | 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: 4ec2f19bca894648becb4260c0065facace753d8d68e167c66b760ab4b36e489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a09343bc5a7163f5de8267e46866131995115a75341809f122e8af69b4e0e4a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-08-17T08:32:18Z",
    "title_canon_sha256": "fadf0cb9e8153eba5492c77289c3dd7798a77f4a79e037f1886c2187ce5d5cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3554",
    "kind": "arxiv",
    "version": 3
  }
}