Pith Number

pith:Z27QEBQA

pith:2018:Z27QEBQAKEUU5ISPPWTGG2UPB2

not attested not anchored not stored refs pending

The absolute of finitely generated groups: II. The Laplacian and degenerate parts

A.Malyutin, A.Vershik

arxiv:1807.05129 v1 · 2018-07-13 · math.FA · 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{Z27QEBQAKEUU5ISPPWTGG2UPB2}

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	2026-05-18T00:10:48.661858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cebf02060051294ea24f7da6636a8f0eae567b40f11b8dc4eb36ba63c0fc8822

Aliases

arxiv: 1807.05129 · arxiv_version: 1807.05129v1 · doi: 10.48550/arxiv.1807.05129 · pith_short_12: Z27QEBQAKEUU · pith_short_16: Z27QEBQAKEUU5ISP · pith_short_8: Z27QEBQA

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/Z27QEBQAKEUU5ISPPWTGG2UPB2 \
  | 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: cebf02060051294ea24f7da6636a8f0eae567b40f11b8dc4eb36ba63c0fc8822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "076c1f3f98fe55a6b56e0e251e527c7206124cab560bfb1f95689e9bc34bcfda",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-13T15:18:14Z",
    "title_canon_sha256": "830228fca6f2231934d24fac3873a4ac375d052e6c6dbc2ed58d4d6e550a0cbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05129",
    "kind": "arxiv",
    "version": 1
  }
}