Pith Number

pith:QGGGB26L

pith:2017:QGGGB26LGLB23OVE2MWOMXXTQG

not attested not anchored not stored refs pending

Coprimely Structured Modules

K\"ur\c{s}at Hakan Oral, Zehra Bilgin

arxiv:1707.05382 v1 · 2017-07-17 · 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{QGGGB26LGLB23OVE2MWOMXXTQG}

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	2026-05-18T00:40:02.515074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818c60ebcb32c3adbaa4d32ce65ef381886b6f2604055b15f6c5d0d6f75077fd

Aliases

arxiv: 1707.05382 · arxiv_version: 1707.05382v1 · doi: 10.48550/arxiv.1707.05382 · pith_short_12: QGGGB26LGLB2 · pith_short_16: QGGGB26LGLB23OVE · pith_short_8: QGGGB26L

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/QGGGB26LGLB23OVE2MWOMXXTQG \
  | 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: 818c60ebcb32c3adbaa4d32ce65ef381886b6f2604055b15f6c5d0d6f75077fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8b32a95ad11a3b3ac683836f3b79b8590981f7edc8eb5a281fa9db7f27c814b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-17T19:49:58Z",
    "title_canon_sha256": "2a2f420dfeb01395fbf2816ab42233f12b5666d1b8c4ca48d48f1b287e8c13ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05382",
    "kind": "arxiv",
    "version": 1
  }
}