Pith Number

pith:NW2FA75P

pith:2018:NW2FA75PL73KH24XF2HJZRBY6G

not attested not anchored not stored refs pending

Fullness of crossed products of factors by discrete groups

Amine Marrakchi

arxiv:1811.08274 v1 · 2018-11-17 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NW2FA75PL73KH24XF2HJZRBY6G}

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	2026-05-17T23:47:59.064503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6db4507faf5ff6a3eb972e8e9cc438f1b27d6845de6705c5da2a573df6ffd34b

Aliases

arxiv: 1811.08274 · arxiv_version: 1811.08274v1 · doi: 10.48550/arxiv.1811.08274 · pith_short_12: NW2FA75PL73K · pith_short_16: NW2FA75PL73KH24X · pith_short_8: NW2FA75P

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/NW2FA75PL73KH24XF2HJZRBY6G \
  | 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: 6db4507faf5ff6a3eb972e8e9cc438f1b27d6845de6705c5da2a573df6ffd34b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2984f85554e9ad30a31abd9847ea3f152e6b49e83b9f536a2f4981fc60ec8cae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-11-17T01:29:13Z",
    "title_canon_sha256": "1445abc316d8e7570ed6424452e92e385df0fb0a860f837eb1ef7088a453e3f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08274",
    "kind": "arxiv",
    "version": 1
  }
}