Pith Number

pith:4O4ADZ2C

pith:2024:4O4ADZ2CRRNUBCIQ2VCUTEXTFR

not attested not anchored not stored refs pending

Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories

Sofia Franchini

arxiv:2403.08735 v2 · 2024-03-13 · math.RT · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4O4ADZ2CRRNUBCIQ2VCUTEXTFR}

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

Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory

Receipt and verification

First computed	2026-07-05T11:24:51.283639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b801e7428c5b408910d5454992f32c73d2dc2d294052a81a16f8f679f71f97

Aliases

arxiv: 2403.08735 · arxiv_version: 2403.08735v2 · doi: 10.48550/arxiv.2403.08735 · pith_short_12: 4O4ADZ2CRRNU · pith_short_16: 4O4ADZ2CRRNUBCIQ · pith_short_8: 4O4ADZ2C

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/4O4ADZ2CRRNUBCIQ2VCUTEXTFR \
  | 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: e3b801e7428c5b408910d5454992f32c73d2dc2d294052a81a16f8f679f71f97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c001ed0c6a09ca37a79084f86bb97f422bafda3e484d35f7f6c9275262820d5",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-03-13T17:36:39Z",
    "title_canon_sha256": "f6e99d55e2cfd383972056afb6f84c7cf1971f9afe75e234be1299d5fabc69a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.08735",
    "kind": "arxiv",
    "version": 2
  }
}