Pith Number

pith:EZP2O624

pith:2006:EZP2O624DVY5DMB4EQB5UEJBRE

not attested not anchored not stored refs pending

When is the commutant of a Bol loop a subloop?

J.D. Phillips, Michael K. Kinyon, Petr Vojt\v{e}chovsk\'y

arxiv:math/0601363 v2 · 2006-01-14 · 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{EZP2O624DVY5DMB4EQB5UEJBRE}

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	2026-05-18T01:08:50.632572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

265fa77b5c1d71d1b03c2403da112189124afd6cbcf89459f4387d2943d58d05

Aliases

arxiv: math/0601363 · arxiv_version: math/0601363v2 · doi: 10.48550/arxiv.math/0601363 · pith_short_12: EZP2O624DVY5 · pith_short_16: EZP2O624DVY5DMB4 · pith_short_8: EZP2O624

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/EZP2O624DVY5DMB4EQB5UEJBRE \
  | 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: 265fa77b5c1d71d1b03c2403da112189124afd6cbcf89459f4387d2943d58d05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b852a2569ddf828bb8a12cf42166ab0f43361536b1a801564fc397c89224bcb6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-01-14T23:08:06Z",
    "title_canon_sha256": "aade396cf85c3196b5959345599254113efa7605a9e176de0a6f8c931ec90769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601363",
    "kind": "arxiv",
    "version": 2
  }
}