Pith Number

pith:PZEF3OJH

pith:2014:PZEF3OJHUZM5UEQY7EMAWGSEWX

not attested not anchored not stored refs pending

Determining cyclicity of finite modules

A. Silverberg, H. W. Lenstra Jr.

arxiv:1501.00183 v2 · 2014-12-31 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZEF3OJHUZM5UEQY7EMAWGSEWX}

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	2026-05-18T02:19:42.371810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e485db927a659da1218f9180b1a44b5c48de4296aeb7910f6c3cb821d9b7b76

Aliases

arxiv: 1501.00183 · arxiv_version: 1501.00183v2 · doi: 10.48550/arxiv.1501.00183 · pith_short_12: PZEF3OJHUZM5 · pith_short_16: PZEF3OJHUZM5UEQY · pith_short_8: PZEF3OJH

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/PZEF3OJHUZM5UEQY7EMAWGSEWX \
  | 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: 7e485db927a659da1218f9180b1a44b5c48de4296aeb7910f6c3cb821d9b7b76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb7f5233e73829dea9f6101e9e3a0d0bb946cca4fb9b02bec052c98eedb4b46c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-12-31T17:40:44Z",
    "title_canon_sha256": "d8768ad6e8a1bf547a25f07f5ce0d0dcf3194940d8b290e0d177a5dce74b9fa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00183",
    "kind": "arxiv",
    "version": 2
  }
}