Pith Number

pith:JK4J7LNH

pith:2018:JK4J7LNHQ5KMY3WS3GAMXK7EZP

not attested not anchored not stored refs pending

Covering classes, strongly flat modules, and completions

Alberto Facchini, Zahra Nazemian

arxiv:1808.02397 v1 · 2018-08-07 · 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{JK4J7LNHQ5KMY3WS3GAMXK7EZP}

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	2026-05-18T00:08:37.191060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab89fada78754cc6ed2d980cbabe4cbdfb9009d1cfbfdd70f2b27c3711eb591

Aliases

arxiv: 1808.02397 · arxiv_version: 1808.02397v1 · doi: 10.48550/arxiv.1808.02397 · pith_short_12: JK4J7LNHQ5KM · pith_short_16: JK4J7LNHQ5KMY3WS · pith_short_8: JK4J7LNH

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/JK4J7LNHQ5KMY3WS3GAMXK7EZP \
  | 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: 4ab89fada78754cc6ed2d980cbabe4cbdfb9009d1cfbfdd70f2b27c3711eb591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5dccbd897da3f1b46cd026fcb8359da9cfb3349cef192bcfb6d6445a4791068",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-08-07T14:25:57Z",
    "title_canon_sha256": "df5d351653526365cd6bdca7a22c7d864694c24967869fb608721ffd3380e155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02397",
    "kind": "arxiv",
    "version": 1
  }
}