Pith Number

pith:5DMHODLE

pith:2016:5DMHODLE2LBZIQX5VCVMFPANGI

not attested not anchored not stored refs pending

Growth of homology torsion of metabelian groups

Nikolay Nikolov

arxiv:1610.05944 v1 · 2016-10-19 · 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{5DMHODLE2LBZIQX5VCVMFPANGI}

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	2026-05-18T01:01:50.614161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8d8770d64d2c39442fda8aac2bc0d3204c64aedea78825b7e1072f9f4bd7dea

Aliases

arxiv: 1610.05944 · arxiv_version: 1610.05944v1 · doi: 10.48550/arxiv.1610.05944 · pith_short_12: 5DMHODLE2LBZ · pith_short_16: 5DMHODLE2LBZIQX5 · pith_short_8: 5DMHODLE

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/5DMHODLE2LBZIQX5VCVMFPANGI \
  | 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: e8d8770d64d2c39442fda8aac2bc0d3204c64aedea78825b7e1072f9f4bd7dea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304284a44e229f112e97c5f4924ab087f4a739a96d144b7d938c970b01c5f0eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-19T10:04:11Z",
    "title_canon_sha256": "74e6b713e1ff60a6baf3723af29dcbe307a4e3f21dcb57e5668f08d0792a7864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05944",
    "kind": "arxiv",
    "version": 1
  }
}