Pith Number

pith:JU7R3G2G

pith:2016:JU7R3G2G2RME2KMZW5IVQ4UEWH

not attested not anchored not stored refs pending

Auslander-Gorenstein algebras and precluster tilting

Osamu Iyama, {\O}yvind Solberg

arxiv:1608.04179 v2 · 2016-08-15 · math.RT · math.AC · 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{JU7R3G2G2RME2KMZW5IVQ4UEWH}

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	2026-05-18T00:25:27.208670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d3f1d9b46d4584d2999b751587284b1e1e4851311f0695dd54490eb8b93ef08

Aliases

arxiv: 1608.04179 · arxiv_version: 1608.04179v2 · doi: 10.48550/arxiv.1608.04179 · pith_short_12: JU7R3G2G2RME · pith_short_16: JU7R3G2G2RME2KMZ · pith_short_8: JU7R3G2G

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/JU7R3G2G2RME2KMZW5IVQ4UEWH \
  | 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: 4d3f1d9b46d4584d2999b751587284b1e1e4851311f0695dd54490eb8b93ef08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bc96b06a92dedac747beec2ca840ca034882fbfc0bb18486547da234476191f",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-15T05:07:28Z",
    "title_canon_sha256": "9446aa25104bc24724c5c3cc1bfe906952c6191536c2ada2d160f951414e0e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04179",
    "kind": "arxiv",
    "version": 2
  }
}