Pith Number

pith:PDGYWQKB

pith:2007:PDGYWQKBYGDFOGUT6DHY7Y2SQ5

not attested not anchored not stored refs pending

Universal derived equivalences of posets of cluster tilting objects

Sefi Ladkani

arxiv:0710.2860 v1 · 2007-10-15 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDGYWQKBYGDFOGUT6DHY7Y2SQ5}

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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

Derived equivalence of posets of torsion classes

Receipt and verification

First computed	2026-07-04T15:04:57.062830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78cd8b4141c186571a93f0cf8fe3528778283fdcb8e86d61b94d1d9e3e7fb4ad

Aliases

arxiv: 0710.2860 · arxiv_version: 0710.2860v1 · doi: 10.48550/arxiv.0710.2860 · pith_short_12: PDGYWQKBYGDF · pith_short_16: PDGYWQKBYGDFOGUT · pith_short_8: PDGYWQKB

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/PDGYWQKBYGDFOGUT6DHY7Y2SQ5 \
  | 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: 78cd8b4141c186571a93f0cf8fe3528778283fdcb8e86d61b94d1d9e3e7fb4ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcc81a879857ca3e9fe7ca8b9926a9edcc854ca2c713c21dbc095eb97676522c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-10-15T16:34:17Z",
    "title_canon_sha256": "7ce88f8707e1424b4371c1c5e4c2288f013dfb6608ed6a253e71d3efaaa6c44c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2860",
    "kind": "arxiv",
    "version": 1
  }
}