Pith Number

pith:V5UFSWSZ

pith:2014:V5UFSWSZ6BVCZ4UEINULCJCQFQ

not attested not anchored not stored refs pending

Chinese Remainder Theorem for Cyclotomic Polynomials in $\mathbf{Z}[X]$

Kamalakshya Mahatab, Kannappan Sampath

arxiv:1401.7696 v3 · 2014-01-29 · math.NT · math.CO · 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{V5UFSWSZ6BVCZ4UEINULCJCQFQ}

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	2026-05-18T01:24:38.729643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af68595a59f06a2cf2844368b124502c3bab11516c0e2353477e4198de89c1c1

Aliases

arxiv: 1401.7696 · arxiv_version: 1401.7696v3 · doi: 10.48550/arxiv.1401.7696 · pith_short_12: V5UFSWSZ6BVC · pith_short_16: V5UFSWSZ6BVCZ4UE · pith_short_8: V5UFSWSZ

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/V5UFSWSZ6BVCZ4UEINULCJCQFQ \
  | 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: af68595a59f06a2cf2844368b124502c3bab11516c0e2353477e4198de89c1c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c186db7f1d6431383abc4ab7447f13c62821c2739d605e1ab3ad97e01a2361c6",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-29T23:09:20Z",
    "title_canon_sha256": "bd8bdeaee2e9a5f76f9d3e6fda1a2e04020624ae2dcf406b4799705c93063527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7696",
    "kind": "arxiv",
    "version": 3
  }
}