Pith Number

pith:LBD7RSZK

pith:2012:LBD7RSZKA43JWHTCSCNAABNIDY

not attested not anchored not stored refs pending

Pseudoautomorphisms of Bruck loops and their generalizations

Mark Greer, Michael Kinyon

arxiv:1204.6075 v1 · 2012-04-26 · 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{LBD7RSZKA43JWHTCSCNAABNIDY}

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	2026-05-18T03:56:47.147395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5847f8cb2a07369b1e62909a0005a81e0604533ec6bbc1fcdbc0456270940808

Aliases

arxiv: 1204.6075 · arxiv_version: 1204.6075v1 · doi: 10.48550/arxiv.1204.6075 · pith_short_12: LBD7RSZKA43J · pith_short_16: LBD7RSZKA43JWHTC · pith_short_8: LBD7RSZK

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/LBD7RSZKA43JWHTCSCNAABNIDY \
  | 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: 5847f8cb2a07369b1e62909a0005a81e0604533ec6bbc1fcdbc0456270940808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f0c851cbdc5bea3a700b3984a68db48dc1f0120b0a2f921c1908ea0217b3ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-26T23:16:47Z",
    "title_canon_sha256": "ec814635df17e2a823aac7464516319e5c2b98fc3242b8bb86c98d5ade1fea2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6075",
    "kind": "arxiv",
    "version": 1
  }
}