Pith Number

pith:QZV3XMK2

pith:2013:QZV3XMK2TKL6PYGE4Z4QRGSRGM

not attested not anchored not stored refs pending

Distributive lattices and the poset of pre-projective tilting modules

Ryoichi Kase

arxiv:1307.8247 v1 · 2013-07-31 · 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{QZV3XMK2TKL6PYGE4Z4QRGSRGM}

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	2026-05-18T03:17:01.858400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866bbbb15a9a97e7e0c4e679089a513335458403cee2963f9330dc0760851bdd

Aliases

arxiv: 1307.8247 · arxiv_version: 1307.8247v1 · doi: 10.48550/arxiv.1307.8247 · pith_short_12: QZV3XMK2TKL6 · pith_short_16: QZV3XMK2TKL6PYGE · pith_short_8: QZV3XMK2

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/QZV3XMK2TKL6PYGE4Z4QRGSRGM \
  | 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: 866bbbb15a9a97e7e0c4e679089a513335458403cee2963f9330dc0760851bdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9b6906805173c636add7ba67d2e22ce8355b8c1f0ce5c1776881c94b452f889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-31T08:16:30Z",
    "title_canon_sha256": "8e147544600b33270617dcf537812a46ad3fa9299b28dc253567c9922b6e85a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8247",
    "kind": "arxiv",
    "version": 1
  }
}