Pith Number

pith:3AHYMJV5

pith:2015:3AHYMJV5VYVWS6W7RBF3W24NT5

not attested not anchored not stored refs pending

Loops with abelian inner mapping groups: An application of automated deduction

Michael Kinyon, Petr Vojt\v{e}chovsk\'y, Robert Veroff

arxiv:1509.05468 v1 · 2015-09-17 · 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{3AHYMJV5VYVWS6W7RBF3W24NT5}

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	2026-05-18T01:32:43.116014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d80f8626bdae2b697adf884bbb6b8d9f6009a89d0aedc05e1f5648aa0287cab4

Aliases

arxiv: 1509.05468 · arxiv_version: 1509.05468v1 · doi: 10.48550/arxiv.1509.05468 · pith_short_12: 3AHYMJV5VYVW · pith_short_16: 3AHYMJV5VYVWS6W7 · pith_short_8: 3AHYMJV5

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/3AHYMJV5VYVWS6W7RBF3W24NT5 \
  | 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: d80f8626bdae2b697adf884bbb6b8d9f6009a89d0aedc05e1f5648aa0287cab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "430b5e38c8932c602c4024a087ef3aa2cf010befc6af446ea071ec3e13de4920",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-17T22:59:04Z",
    "title_canon_sha256": "691e1d309bc1cfcc46023518e36a59d7bc11a50750e1fa0bb220cf54e2c45d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05468",
    "kind": "arxiv",
    "version": 1
  }
}