Pith Number

pith:V2CBVNAK

pith:2016:V2CBVNAKHKZMKVT7C6V5UK4AUN

not attested not anchored not stored refs pending

New Residue Arithmetic Based Barrett Algorithms, Part II: Modular Polynomial Computations

Hanshen Xiao, Hari K Garg

arxiv:1602.01553 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{V2CBVNAKHKZMKVT7C6V5UK4AUN}

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	2026-05-18T01:21:18.676130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae841ab40a3ab2c5567f17abda2b80a35b91bd9fa7c43b8318a7e0e4dadeaf48

Aliases

arxiv: 1602.01553 · arxiv_version: 1602.01553v1 · doi: 10.48550/arxiv.1602.01553 · pith_short_12: V2CBVNAKHKZM · pith_short_16: V2CBVNAKHKZMKVT7 · pith_short_8: V2CBVNAK

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/V2CBVNAKHKZMKVT7C6V5UK4AUN \
  | 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: ae841ab40a3ab2c5567f17abda2b80a35b91bd9fa7c43b8318a7e0e4dadeaf48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e8fff6a9c5b610e75039e095eb04678f041f28c7ef2a1cb23d659eaa57eb97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-04T03:52:05Z",
    "title_canon_sha256": "393ef68e840079344c703c7f3143ffeec254dd7361d4b2f6eaaba28836c3aff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01553",
    "kind": "arxiv",
    "version": 1
  }
}