Pith Number

pith:E77HD5LC

pith:2016:E77HD5LCP7L3FKW6BTNQUGP6RI

not attested not anchored not stored refs pending

Regular submodules of torsion modules over a discrete valuation domain

Harald K. Wimmer, Pudji Astuti

arxiv:1601.06356 v1 · 2016-01-24 · math.AC · 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{E77HD5LCP7L3FKW6BTNQUGP6RI}

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	2026-05-18T01:21:25.208923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27fe71f5627fd7b2aade0cdb0a19fe8a3a542fd96fc48dc90be29b369e396b04

Aliases

arxiv: 1601.06356 · arxiv_version: 1601.06356v1 · doi: 10.48550/arxiv.1601.06356 · pith_short_12: E77HD5LCP7L3 · pith_short_16: E77HD5LCP7L3FKW6 · pith_short_8: E77HD5LC

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/E77HD5LCP7L3FKW6BTNQUGP6RI \
  | 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: 27fe71f5627fd7b2aade0cdb0a19fe8a3a542fd96fc48dc90be29b369e396b04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a48e80fe6d04b857188cc005602467398b084393850ae4e0ff82112811beb70",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-24T08:23:22Z",
    "title_canon_sha256": "defcc0a53c0b3d8c95b1d6ca4f8b422cc322b0f5e3dd5c975794ba48c825165e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06356",
    "kind": "arxiv",
    "version": 1
  }
}