Pith Number

pith:H3TJBZUR

pith:2019:H3TJBZURTFR5H4X5QJ6MLF3ULC

not attested not anchored not stored refs pending

Natural Monoids and Non-commutative Arithmetics

Boqing Xue

arxiv:1901.02149 v3 · 2019-01-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3TJBZURTFR5H4X5QJ6MLF3ULC}

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	2026-05-17T23:46:18.885474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ee690e6919963d3f2fd827cc59774589f7938a05ce9b4f0d9efd90d17b96c30

Aliases

arxiv: 1901.02149 · arxiv_version: 1901.02149v3 · doi: 10.48550/arxiv.1901.02149 · pith_short_12: H3TJBZURTFR5 · pith_short_16: H3TJBZURTFR5H4X5 · pith_short_8: H3TJBZUR

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/H3TJBZURTFR5H4X5QJ6MLF3ULC \
  | 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: 3ee690e6919963d3f2fd827cc59774589f7938a05ce9b4f0d9efd90d17b96c30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c1800bbd7dee446efa2c4f580fb574534bf61e5aac30cdd911c332806e6a66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-08T04:13:18Z",
    "title_canon_sha256": "01f7d30d0980a6e560b4fd55545124cfdf5620092ee2f1d166153a241c6d032e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02149",
    "kind": "arxiv",
    "version": 3
  }
}