Pith Number

pith:357XDXIB

pith:2015:357XDXIBKCSRYUWNXWIBZHUJ5R

not attested not anchored not stored refs pending

Varieties whose finitely generated members are free

Agnes Szendrei, Emil W. Kiss, Keith A. Kearnes

arxiv:1508.03807 v2 · 2015-08-16 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{357XDXIBKCSRYUWNXWIBZHUJ5R}

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	2026-05-18T01:04:50.501497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df7f71dd0150a51c52cdbd901c9e89ec78100bfd161dbf740627ba815535814d

Aliases

arxiv: 1508.03807 · arxiv_version: 1508.03807v2 · doi: 10.48550/arxiv.1508.03807 · pith_short_12: 357XDXIBKCSR · pith_short_16: 357XDXIBKCSRYUWN · pith_short_8: 357XDXIB

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/357XDXIBKCSRYUWNXWIBZHUJ5R \
  | 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: df7f71dd0150a51c52cdbd901c9e89ec78100bfd161dbf740627ba815535814d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0955aa50491a5884fbb967817f136763e25ee13d4e5bc6fe46f0f135e988675b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-08-16T10:06:45Z",
    "title_canon_sha256": "c49721322529a6b6da67e1992a2db967a4c969e682ae007f19495f4b8809f866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03807",
    "kind": "arxiv",
    "version": 2
  }
}