Pith Number

pith:WMT7FRRF

pith:2019:WMT7FRRFHNG2PIKQKEPHD4UW42

not attested not anchored not stored refs pending

Pretorsion theories in general categories

Alberto Facchini, Carmelo Finocchiaro, Marino Gran

arxiv:1908.03546 v2 · 2019-08-09 · math.CT · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMT7FRRFHNG2PIKQKEPHD4UW42}

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	2026-07-05T03:44:48.996723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b327f2c6253b4da7a150511e71f296e6a20684afb4d5da84a541830c51bc695f

Aliases

arxiv: 1908.03546 · arxiv_version: 1908.03546v2 · doi: 10.48550/arxiv.1908.03546 · pith_short_12: WMT7FRRFHNG2 · pith_short_16: WMT7FRRFHNG2PIKQ · pith_short_8: WMT7FRRF

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/WMT7FRRFHNG2PIKQKEPHD4UW42 \
  | 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: b327f2c6253b4da7a150511e71f296e6a20684afb4d5da84a541830c51bc695f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7e562e627648e51587b52fb1f5254d0838e4cb26e1e5469f195af54da983963",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-08-09T17:16:53Z",
    "title_canon_sha256": "0e082f651c197304c9445bbbb8bf28a8affb9b80aa384c3358e1423b845fc0fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03546",
    "kind": "arxiv",
    "version": 2
  }
}