Pith Number

pith:5PXQXSII

pith:2015:5PXQXSIICKPVW5KB4HWSH7M3VW

not attested not anchored not stored refs pending

Weakly classical prime submodules

Hojjat Mostafanasab, Kursat Hakan Oral, Unsal Tekir

arxiv:1505.06730 v2 · 2015-05-25 · 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{5PXQXSIICKPVW5KB4HWSH7M3VW}

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	2026-05-18T01:15:23.597230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebef0bc908129f5b7541e1ed23fd9badb99f22a31c6d7fccc26d170608e5a57d

Aliases

arxiv: 1505.06730 · arxiv_version: 1505.06730v2 · doi: 10.48550/arxiv.1505.06730 · pith_short_12: 5PXQXSIICKPV · pith_short_16: 5PXQXSIICKPVW5KB · pith_short_8: 5PXQXSII

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/5PXQXSIICKPVW5KB4HWSH7M3VW \
  | 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: ebef0bc908129f5b7541e1ed23fd9badb99f22a31c6d7fccc26d170608e5a57d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51c7e5820acdbf0924bdd83315e8d052704789e83f5e49a7593925b7e4e11755",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-05-25T12:32:28Z",
    "title_canon_sha256": "dbe93b20ae2584d89cd385e6a8567fbabe1a0f78f6bd51e1ab9f563a0dd083e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06730",
    "kind": "arxiv",
    "version": 2
  }
}