Pith Number

pith:5LAS2EXG

pith:2023:5LAS2EXGG6OLI5V5AJIGH7HCQI

not attested not anchored not stored refs pending

Some remarks on two-periodic modules over local rings

Nilkantha Das, Sutapa Dey

arxiv:2307.12752 v2 · 2023-07-24 · 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{5LAS2EXGG6OLI5V5AJIGH7HCQI}

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	2026-07-05T06:48:35.876696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac12d12e6379cb476bd025063fce28206f818a984cb9f0602b1bbe95931b1ba

Aliases

arxiv: 2307.12752 · arxiv_version: 2307.12752v2 · doi: 10.48550/arxiv.2307.12752 · pith_short_12: 5LAS2EXGG6OL · pith_short_16: 5LAS2EXGG6OLI5V5 · pith_short_8: 5LAS2EXG

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/5LAS2EXGG6OLI5V5AJIGH7HCQI \
  | 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: eac12d12e6379cb476bd025063fce28206f818a984cb9f0602b1bbe95931b1ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd965ee0d903d9fc58b8e915fe7659ffb97ef42960718c5adb78b6a57086e9d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-07-24T12:44:34Z",
    "title_canon_sha256": "3b7ed8dd19063b47f578d0cce25f736c68dfeb5ee1466a60f03167683d75b31c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.12752",
    "kind": "arxiv",
    "version": 2
  }
}