Pith Number

pith:XQNTVHWH

pith:2016:XQNTVHWHDW2FDOQPOHZ7VGGLUW

not attested not anchored not stored refs pending

Relative contravariantly finite subcategories and relative tilting modules

Shen Li, Shunhua Zhang, Wei Han

arxiv:1612.08342 v1 · 2016-12-26 · 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{XQNTVHWHDW2FDOQPOHZ7VGGLUW}

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	2026-05-18T00:53:56.906565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1b3a9ec71db451ba0f71f3fa98cba59f6c7bd9b4e2779fde68665c6e5857e3

Aliases

arxiv: 1612.08342 · arxiv_version: 1612.08342v1 · doi: 10.48550/arxiv.1612.08342 · pith_short_12: XQNTVHWHDW2F · pith_short_16: XQNTVHWHDW2FDOQP · pith_short_8: XQNTVHWH

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/XQNTVHWHDW2FDOQPOHZ7VGGLUW \
  | 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: bc1b3a9ec71db451ba0f71f3fa98cba59f6c7bd9b4e2779fde68665c6e5857e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a27750d0ec661dd9cd4c422a067c737ffee0b5eb788481a2b6f2c8fe8194d77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-26T08:37:41Z",
    "title_canon_sha256": "4c19cc5e38e2a33f6ffb4a9d45bae3a8ddd1497f4590bcad311b31c4c1ed6397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08342",
    "kind": "arxiv",
    "version": 1
  }
}