Pith Number

pith:E5OBFKS6

pith:2017:E5OBFKS6WAR75TD3KVBBGJ6SWK

not attested not anchored not stored refs pending

Auslander-Gorenstein algebras from Serre-formal algebras via replication

Aaron Chan, Osamu Iyama, Rene Marczinzik

arxiv:1707.03996 v1 · 2017-07-13 · 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{E5OBFKS6WAR75TD3KVBBGJ6SWK}

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	2026-05-18T00:40:22.880323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275c12aa5eb023fecc7b55421327d2b29299c78881d43b8db60adf8d2686f103

Aliases

arxiv: 1707.03996 · arxiv_version: 1707.03996v1 · doi: 10.48550/arxiv.1707.03996 · pith_short_12: E5OBFKS6WAR7 · pith_short_16: E5OBFKS6WAR75TD3 · pith_short_8: E5OBFKS6

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/E5OBFKS6WAR75TD3KVBBGJ6SWK \
  | 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: 275c12aa5eb023fecc7b55421327d2b29299c78881d43b8db60adf8d2686f103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee72560baf1cada72fc1286742604ddb800ab6d46249940612a54acf10dd0732",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-07-13T07:15:57Z",
    "title_canon_sha256": "e7eb89ca4ac63d31bfeef6fa143b161bfb220911929801cbbff38d7e3dc4145e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03996",
    "kind": "arxiv",
    "version": 1
  }
}