Pith Number

pith:SMFQME3E

pith:2016:SMFQME3E7BKEF4XTV3U56S3J5I

not attested not anchored not stored refs pending

On the intersection graphs of modules and rings

Edmund R. Puczy{\l}owski, Jerzy Matczuk, Marta Nowakowska

arxiv:1606.01647 v2 · 2016-06-06 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMFQME3E7BKEF4XTV3U56S3J5I}

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	2026-05-18T00:39:40.477778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

930b061364f85442f2f3aee9df4b69ea14f42ff820dee363a67ebe38503b821f

Aliases

arxiv: 1606.01647 · arxiv_version: 1606.01647v2 · doi: 10.48550/arxiv.1606.01647 · pith_short_12: SMFQME3E7BKE · pith_short_16: SMFQME3E7BKEF4XT · pith_short_8: SMFQME3E

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/SMFQME3E7BKEF4XTV3U56S3J5I \
  | 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: 930b061364f85442f2f3aee9df4b69ea14f42ff820dee363a67ebe38503b821f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3cb419a57a744139eb72b69959b14b7b15b0a61bb8b8e992c2ad156e4e2d4c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-06-06T07:53:06Z",
    "title_canon_sha256": "46bd49880832d1ff6c9c6f93f5f222246833b116062f0b267ad80a239ef5b9fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01647",
    "kind": "arxiv",
    "version": 2
  }
}