Pith Number

pith:7HEKE36Q

pith:2015:7HEKE36QZ7HDACG3WSMT7MAUA6

not attested not anchored not stored refs pending

Classifying tilting complexes over preprojective algebras of Dynkin type

Takuma Aihara, Yuya Mizuno

arxiv:1509.07387 v3 · 2015-09-24 · math.RT · 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{7HEKE36QZ7HDACG3WSMT7MAUA6}

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.

Cited by

1 paper in Pith

Fishing for complements

Receipt and verification

First computed	2026-05-18T00:21:00.206288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9c8a26fd0cfce3008dbb4993fb0140783a5d64294ff753e3cd1b085d6a37045

Aliases

arxiv: 1509.07387 · arxiv_version: 1509.07387v3 · doi: 10.48550/arxiv.1509.07387 · pith_short_12: 7HEKE36QZ7HD · pith_short_16: 7HEKE36QZ7HDACG3 · pith_short_8: 7HEKE36Q

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/7HEKE36QZ7HDACG3WSMT7MAUA6 \
  | 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: f9c8a26fd0cfce3008dbb4993fb0140783a5d64294ff753e3cd1b085d6a37045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774042184566c37baa2743f81837c397352ed4e1938e7f18b2672c551dd91f9b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-24T14:33:42Z",
    "title_canon_sha256": "e5a45fc39a31345ea0a55a2fee2ea53792faa6037589adb9a369916c32f48c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07387",
    "kind": "arxiv",
    "version": 3
  }
}