Pith Number

pith:XQ7XJWQY

pith:2017:XQ7XJWQYY6EKEN4IDEYI3UO3R2

not attested not anchored not stored refs pending

Polynomially and Infinitesimally Injective Modules

Haralampos Geranios, Stephen Donkin

arxiv:1704.02405 v1 · 2017-04-08 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQ7XJWQYY6EKEN4IDEYI3UO3R2}

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	2026-05-18T00:46:45.685871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc3f74da18c788a2378819308dd1db8eaf517ebe0d356acf608053c3ccde3eed

Aliases

arxiv: 1704.02405 · arxiv_version: 1704.02405v1 · doi: 10.48550/arxiv.1704.02405 · pith_short_12: XQ7XJWQYY6EK · pith_short_16: XQ7XJWQYY6EKEN4I · pith_short_8: XQ7XJWQY

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/XQ7XJWQYY6EKEN4IDEYI3UO3R2 \
  | 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: bc3f74da18c788a2378819308dd1db8eaf517ebe0d356acf608053c3ccde3eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95fe666c412d8af40d6ee50e1f93d9f556c4c069f86aa48a45ffa31585327bc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-04-08T00:03:36Z",
    "title_canon_sha256": "539e59e352517993221d136e73004c7c3e1cd838c53be7e217823637ea25d4d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02405",
    "kind": "arxiv",
    "version": 1
  }
}