Pith Number

pith:T2DT4DFK

pith:2013:T2DT4DFKSWRNDG5S4M73OKE75I

not attested not anchored not stored refs pending

Direct limits in the heart of a t-structure: the case of a torsion pair

Carlos E. Parra, Manuel Saor\'in

arxiv:1311.6166 v2 · 2013-11-24 · 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{T2DT4DFKSWRNDG5S4M73OKE75I}

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	2026-05-18T02:42:14.793101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e873e0caa95a2d19bb2e33fb7289fea22233ca83cada12047c15c07b34fa0ff

Aliases

arxiv: 1311.6166 · arxiv_version: 1311.6166v2 · doi: 10.48550/arxiv.1311.6166 · pith_short_12: T2DT4DFKSWRN · pith_short_16: T2DT4DFKSWRNDG5S · pith_short_8: T2DT4DFK

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/T2DT4DFKSWRNDG5S4M73OKE75I \
  | 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: 9e873e0caa95a2d19bb2e33fb7289fea22233ca83cada12047c15c07b34fa0ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc0dd82ca7e0916859b2ef8197821eb323db4e1031eb84ec55de696a597c3de8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-11-24T20:31:12Z",
    "title_canon_sha256": "88b37d138f83dbcfa0a5df1839d46d6bc4a4dd4823760504f08bc3e156dcc61d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6166",
    "kind": "arxiv",
    "version": 2
  }
}