Pith Number

pith:JJY7XNLX

pith:2016:JJY7XNLXZTFFQTZHXEMQA52API

not attested not anchored not stored refs pending

The quaternion over the ring of Colombeau's full generalized numbers

A. R. G. Garcia, S. H. da Silva, Wagner Cortes

arxiv:1611.10358 v2 · 2016-11-30 · 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{JJY7XNLXZTFFQTZHXEMQA52API}

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	2026-05-18T00:55:48.287884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a71fbb577ccca584f27b9190077407a305e9af815568cb20e4a710edf9e1432

Aliases

arxiv: 1611.10358 · arxiv_version: 1611.10358v2 · doi: 10.48550/arxiv.1611.10358 · pith_short_12: JJY7XNLXZTFF · pith_short_16: JJY7XNLXZTFFQTZH · pith_short_8: JJY7XNLX

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/JJY7XNLXZTFFQTZHXEMQA52API \
  | 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: 4a71fbb577ccca584f27b9190077407a305e9af815568cb20e4a710edf9e1432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3410a8acee3840417302b3b6c535b2d6832ccee203fdcc6279dc4f5f79efb32c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-11-30T20:58:55Z",
    "title_canon_sha256": "1554b53a818cd59c4ed65ca7783bb22e809c61945a2ee84b28318f921d0fe86b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10358",
    "kind": "arxiv",
    "version": 2
  }
}