pith. sign in
Pith Number

pith:ET5JLMVD

pith:2016:ET5JLMVDQ7XWOCSPT7JL77MINR
not attested not anchored not stored refs pending

Auslander's Formula for contravariantly finite subcategories

Javad Asadollahi, Mohammad H. Keshavarz, Rasool Hafezi

arxiv:1701.00073 v2 · 2016-12-31 · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ET5JLMVDQ7XWOCSPT7JL77MINR}

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 2026-05-18T00:22:52.925967Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

24fa95b2a387ef670a4f9fd2bffd886c56ec2750ae8a9030393e5da08dcd0df8

Aliases

arxiv: 1701.00073 · arxiv_version: 1701.00073v2 · doi: 10.48550/arxiv.1701.00073 · pith_short_12: ET5JLMVDQ7XW · pith_short_16: ET5JLMVDQ7XWOCSP · pith_short_8: ET5JLMVD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ET5JLMVDQ7XWOCSPT7JL77MINR \
  | 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: 24fa95b2a387ef670a4f9fd2bffd886c56ec2750ae8a9030393e5da08dcd0df8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4992581f0d8ef9a8ae0b6f4acbdc46f0c3bf9151c702565622b037eef9ec3bfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-31T08:22:38Z",
    "title_canon_sha256": "e2878c6e5331d047c799d7dcdf6c92a380adc6c1d1199443a025883726b94baf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00073",
    "kind": "arxiv",
    "version": 2
  }
}