Pith Number

pith:4JXPKAHI

pith:2016:4JXPKAHICGCF6CSHBY2K7WC6QQ

not attested not anchored not stored refs pending

Balanced factorisations in some algebras

Anastasia N. Ponfilenko, Andrey M. Mazhuga, Anton A. Klyachko

arxiv:1607.01957 v1 · 2016-07-07 · math.RA · math.AC · math.HO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JXPKAHICGCF6CSHBY2K7WC6QQ}

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	2026-05-18T00:45:58.730937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26ef500e811845f0a470e34afd85e841976bffa545b931e79db3e1eebc74582

Aliases

arxiv: 1607.01957 · arxiv_version: 1607.01957v1 · doi: 10.48550/arxiv.1607.01957 · pith_short_12: 4JXPKAHICGCF · pith_short_16: 4JXPKAHICGCF6CSH · pith_short_8: 4JXPKAHI

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/4JXPKAHICGCF6CSHBY2K7WC6QQ \
  | 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: e26ef500e811845f0a470e34afd85e841976bffa545b931e79db3e1eebc74582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6fdce6c58b8384e0ea3a4a15c246faad60b88a48cff2ff4bd97734f032ee65",
    "cross_cats_sorted": [
      "math.AC",
      "math.HO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-07-07T10:42:57Z",
    "title_canon_sha256": "f3bb53eddde9a89fb34f199afb76334d10421d50a6e07da131bb2b3937e4609a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01957",
    "kind": "arxiv",
    "version": 1
  }
}