Pith Number

pith:J27S3Y2M

pith:2016:J27S3Y2MG6ZBTW5XCDOPYZ32J6

not attested not anchored not stored refs pending

Weak orders on symmetric groups and posets of support $\tau$-tilting modules

Ryoichi Kase

arxiv:1605.05062 v1 · 2016-05-17 · math.RT · math.CO · 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{J27S3Y2MG6ZBTW5XCDOPYZ32J6}

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	2026-05-18T01:14:37.521951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ebf2de34c37b219dbb710dcfc677a4fa3341a682bc6993e7a81feee7d25970f

Aliases

arxiv: 1605.05062 · arxiv_version: 1605.05062v1 · doi: 10.48550/arxiv.1605.05062 · pith_short_12: J27S3Y2MG6ZB · pith_short_16: J27S3Y2MG6ZBTW5X · pith_short_8: J27S3Y2M

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/J27S3Y2MG6ZBTW5XCDOPYZ32J6 \
  | 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: 4ebf2de34c37b219dbb710dcfc677a4fa3341a682bc6993e7a81feee7d25970f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd41a0cf22dd70f8fae0213238a1a4b96a920aff5e343b4c8fedb82d4f5e2388",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-05-17T09:04:03Z",
    "title_canon_sha256": "60bd17e9bd65924caff9e85cc63e20c5de467f36cbe0906ddec377e100f8b7d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05062",
    "kind": "arxiv",
    "version": 1
  }
}