Pith Number

pith:4NIIGTEL

pith:2026:4NIIGTELZGNSN43PWNOFBLUO4F

not attested not anchored not stored refs pending

Geometric models for endomorphism algebras of tilting modules over gentle algebras

Difan Deng, Pin Liu, Shengfei Geng

arxiv:2607.19945 v1 · 2026-07-22 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NIIGTELZGNSN43PWNOFBLUO4F}

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	2026-07-23T01:24:45.263155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e350834c8bc99b26f36fb35c50ae8ee14695e186d481d51b6445c02a05966d53

Aliases

arxiv: 2607.19945 · arxiv_version: 2607.19945v1 · doi: 10.48550/arxiv.2607.19945 · pith_short_12: 4NIIGTELZGNS · pith_short_16: 4NIIGTELZGNSN43P · pith_short_8: 4NIIGTEL

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/4NIIGTELZGNSN43PWNOFBLUO4F \
  | 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: e350834c8bc99b26f36fb35c50ae8ee14695e186d481d51b6445c02a05966d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d1f15442e30e2cc9519241e141bf724a4c5d26a064b3a73ed91c888c87f91ed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-22T09:18:28Z",
    "title_canon_sha256": "ec5677f18c479e8cf4523b3e0c3eac088b9a5fc535148cebedbd1999713958a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19945",
    "kind": "arxiv",
    "version": 1
  }
}