Pith Number

pith:WP42PXZJ

pith:2018:WP42PXZJQYMLTZXIX633LURIDH

not attested not anchored not stored refs pending

The Absolute of finitely generated groups: I. Commutative groups

A.Malyutin, A.Vershik

arxiv:1801.02012 v1 · 2018-01-06 · math.GR · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WP42PXZJQYMLTZXIX633LURIDH}

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	2026-05-18T00:26:35.200658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f9a7df298618b9e6e8bfb7b5d22819f7f41e28546a82f6c1a8671c25432116

Aliases

arxiv: 1801.02012 · arxiv_version: 1801.02012v1 · doi: 10.48550/arxiv.1801.02012 · pith_short_12: WP42PXZJQYML · pith_short_16: WP42PXZJQYMLTZXI · pith_short_8: WP42PXZJ

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/WP42PXZJQYMLTZXIX633LURIDH \
  | 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: b3f9a7df298618b9e6e8bfb7b5d22819f7f41e28546a82f6c1a8671c25432116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2d2de4d66c619365aef4527e6c54635a3d7d0ad6ef61f29f3669d0490420a9c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-01-06T13:16:21Z",
    "title_canon_sha256": "8f946411ce02798dbb6332688ad3d95208d6a0711e11991698611c3442ff315d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02012",
    "kind": "arxiv",
    "version": 1
  }
}