Pith Number

pith:2CZYC5XV

pith:2016:2CZYC5XVPLSGSCYXH5IEFXFM5S

not attested not anchored not stored refs pending

New Residue Arithmetic Based Barrett Algorithms, Part I: Modular Integer Computations

Hanshen Xiao, Hari K. Garg

arxiv:1602.01551 v1 · 2016-02-04 · 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{2CZYC5XVPLSGSCYXH5IEFXFM5S}

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	2026-05-18T01:21:18.693972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0b38176f57ae4690b173f5042dcacecbadc2caa706dc1a37de608db3366d3b6

Aliases

arxiv: 1602.01551 · arxiv_version: 1602.01551v1 · doi: 10.48550/arxiv.1602.01551 · pith_short_12: 2CZYC5XVPLSG · pith_short_16: 2CZYC5XVPLSGSCYX · pith_short_8: 2CZYC5XV

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/2CZYC5XVPLSGSCYXH5IEFXFM5S \
  | 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: d0b38176f57ae4690b173f5042dcacecbadc2caa706dc1a37de608db3366d3b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "762f5641daad5553762257b442c28d9347a1177aaeeccf9f792271cee73931ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-04T03:45:22Z",
    "title_canon_sha256": "3bf26a6ee2a9c84a583f69d4c153eabce28f2d6cfce53e38e8ca966215eec656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01551",
    "kind": "arxiv",
    "version": 1
  }
}