Pith Number

pith:JKL2VOJU

pith:2019:JKL2VOJUZSTBQZKLOKC6LQLA2S

not attested not anchored not stored refs pending

Counterexamples to the Tilting and $(p,r)$-Filtration Conjectures

Christopher P. Bendel, Cornelius Pillen, Daniel K. Nakano, Paul Sobaje

arxiv:1901.06687 v2 · 2019-01-20 · 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{JKL2VOJUZSTBQZKLOKC6LQLA2S}

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	2026-05-17T23:53:41.170641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a97aab934cca618654b7285e5c160d4a95c560b9dc420d19c57e4c7dcba69c0

Aliases

arxiv: 1901.06687 · arxiv_version: 1901.06687v2 · doi: 10.48550/arxiv.1901.06687 · pith_short_12: JKL2VOJUZSTB · pith_short_16: JKL2VOJUZSTBQZKL · pith_short_8: JKL2VOJU

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/JKL2VOJUZSTBQZKLOKC6LQLA2S \
  | 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: 4a97aab934cca618654b7285e5c160d4a95c560b9dc420d19c57e4c7dcba69c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c786f6df48c8dad9470c0d1694e2baf646fd7c32459438b37ac78c8d01c6b753",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-01-20T15:00:35Z",
    "title_canon_sha256": "6c1c52c305bdb699acef34c26695a410c59325c688c36a39df7be87d325ba50c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06687",
    "kind": "arxiv",
    "version": 2
  }
}