Pith Number

pith:WW76KDWQ

pith:2016:WW76KDWQT5T273L4IC7BKPN7SJ

not attested not anchored not stored refs pending

Derived equivalences, restriction to self-injective subalgebras and invariance of homological dimensions

Ming Fang, Steffen Koenig, Wei Hu

arxiv:1607.03513 v1 · 2016-07-12 · 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{WW76KDWQT5T273L4IC7BKPN7SJ}

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	2026-05-18T01:11:07.757714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5bfe50ed09f67afed7c40be153dbf92646cc45772d4d4b49908646db784bdcb

Aliases

arxiv: 1607.03513 · arxiv_version: 1607.03513v1 · doi: 10.48550/arxiv.1607.03513 · pith_short_12: WW76KDWQT5T2 · pith_short_16: WW76KDWQT5T273L4 · pith_short_8: WW76KDWQ

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/WW76KDWQT5T273L4IC7BKPN7SJ \
  | 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: b5bfe50ed09f67afed7c40be153dbf92646cc45772d4d4b49908646db784bdcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc9b2bc03b29093a1c9b4af8a1e28f1449057ba6d2a92873286087b009961daf",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-07-12T20:40:31Z",
    "title_canon_sha256": "a5f6bfa409bddd763f3a76367172c54a01b03da6bd7821a5c7125a8e48c339f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03513",
    "kind": "arxiv",
    "version": 1
  }
}