Pith Number

pith:4KC2JW3U

pith:2021:4KC2JW3U2EIL5F6PQVYNQ5CBGL

not attested not anchored not stored refs pending

Support $\tau_2$-tilting and 2-torsion pairs

Jordan McMahon

arxiv:2102.08254 v1 · 2021-02-16 · 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{4KC2JW3U2EIL5F6PQVYNQ5CBGL}

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.

Cited by

1 paper in Pith

Tilting theory for extended module categories

Receipt and verification

First computed	2026-07-05T02:15:47.711902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e285a4db74d110be97cf8570d8744132e0fc5fc74c915276e6cd63057562b914

Aliases

arxiv: 2102.08254 · arxiv_version: 2102.08254v1 · doi: 10.48550/arxiv.2102.08254 · pith_short_12: 4KC2JW3U2EIL · pith_short_16: 4KC2JW3U2EIL5F6P · pith_short_8: 4KC2JW3U

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/4KC2JW3U2EIL5F6PQVYNQ5CBGL \
  | 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: e285a4db74d110be97cf8570d8744132e0fc5fc74c915276e6cd63057562b914

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58193edefee204b2f90eb7158aa4c63123e3015bb851562a2f2159b8fa0028ed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-02-16T16:25:03Z",
    "title_canon_sha256": "9807be81a18e49339d93d00701596d641b16347ae1d62349da06d7d9102657f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.08254",
    "kind": "arxiv",
    "version": 1
  }
}