Pith Number

pith:IOJJHBXO

pith:2014:IOJJHBXOJ7SZTCHQZWBMAP74MX

not attested not anchored not stored refs pending

Bieri-Eckmann Criteria for Profinite Groups

Ged Corob Cook

arxiv:1412.1703 v2 · 2014-12-04 · 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{IOJJHBXOJ7SZTCHQZWBMAP74MX}

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	2026-05-18T02:29:23.116551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43929386ee4fe59988f0cd82c03ffc65e9f3d81a1b24ea53368758819ac01784

Aliases

arxiv: 1412.1703 · arxiv_version: 1412.1703v2 · doi: 10.48550/arxiv.1412.1703 · pith_short_12: IOJJHBXOJ7SZ · pith_short_16: IOJJHBXOJ7SZTCHQ · pith_short_8: IOJJHBXO

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/IOJJHBXOJ7SZTCHQZWBMAP74MX \
  | 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: 43929386ee4fe59988f0cd82c03ffc65e9f3d81a1b24ea53368758819ac01784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7213e9124bcd6523c921fde7266b2ed1929664e726c2373e4ec9a12971f32773",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-04T15:34:09Z",
    "title_canon_sha256": "9c4e28868e5a2526ac138b6141a62323830f8476d816f7182cfcc8b98893f1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1703",
    "kind": "arxiv",
    "version": 2
  }
}