Pith Number

pith:NHGNO4OR

pith:2015:NHGNO4ORURHFF3UE45GSPOHH4Z

not attested not anchored not stored refs pending

Equivalences for weak crossed products

Ana Bel\'en Rodr\'iguez Raposo, Jos\'e Manuel Fern\'andez Vilaboa, Ram\'on Gonz\'alez Rodr\'iguez

arxiv:1505.05532 v1 · 2015-05-20 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHGNO4ORURHFF3UE45GSPOHH4Z}

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	2026-05-18T02:03:54.384162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ccd771d1a44e52ee84e74d27b8e7e6692dd2f7ba8492503d6085c4bc8ff77e

Aliases

arxiv: 1505.05532 · arxiv_version: 1505.05532v1 · doi: 10.48550/arxiv.1505.05532 · pith_short_12: NHGNO4ORURHF · pith_short_16: NHGNO4ORURHFF3UE · pith_short_8: NHGNO4OR

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/NHGNO4ORURHFF3UE45GSPOHH4Z \
  | 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: 69ccd771d1a44e52ee84e74d27b8e7e6692dd2f7ba8492503d6085c4bc8ff77e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01af88032c799099d1e618a926511b6825b0030028959d7d9c918da023cab49f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-05-20T20:54:44Z",
    "title_canon_sha256": "f608272072be8b7ffe7f40b4700e89066fde861d14b41d3ed50c8bcb9f87be1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05532",
    "kind": "arxiv",
    "version": 1
  }
}