Pith Number

pith:CJRECBZG

pith:2013:CJRECBZGWCAOJD325GSU7V5FAM

not attested not anchored not stored refs pending

Reduction of $\tau$-tilting modules and torsion pairs

Gustavo Jasso

arxiv:1302.2709 v4 · 2013-02-12 · 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{CJRECBZGWCAOJD325GSU7V5FAM}

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	2026-05-18T00:42:24.274031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1262410726b080e48f7ae9a54fd7a503213c29c81ce6b672837f83e2346731d8

Aliases

arxiv: 1302.2709 · arxiv_version: 1302.2709v4 · doi: 10.48550/arxiv.1302.2709 · pith_short_12: CJRECBZGWCAO · pith_short_16: CJRECBZGWCAOJD32 · pith_short_8: CJRECBZG

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/CJRECBZGWCAOJD325GSU7V5FAM \
  | 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: 1262410726b080e48f7ae9a54fd7a503213c29c81ce6b672837f83e2346731d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a2aaac02e0a919d3b34b7924a2ad7b630a64cd9286d21a3dba98fe3a5abed90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-02-12T06:15:58Z",
    "title_canon_sha256": "e0b15d3eaa226180bfe7c87594b153f5d62af6ee055cb1d7c0e812114ee76b61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2709",
    "kind": "arxiv",
    "version": 4
  }
}