Pith Number

pith:T2N3YXOE

pith:2011:T2N3YXOEL4PBNX2L3VV7YVEYPV

not attested not anchored not stored refs pending

Improvement Of Barreto-Voloch Algorithm For Computing $r$th Roots Over Finite Fields

Xiao Fan, Zhengjun Cao

arxiv:1110.4801 v1 · 2011-10-19 · cs.SC · cs.CR · 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{T2N3YXOEL4PBNX2L3VV7YVEYPV}

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	2026-05-18T04:10:34.994070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9bbc5dc45f1e16df4bdd6bfc54987d5ae7d023560b000285228dfe8b5a38bf

Aliases

arxiv: 1110.4801 · arxiv_version: 1110.4801v1 · doi: 10.48550/arxiv.1110.4801 · pith_short_12: T2N3YXOEL4PB · pith_short_16: T2N3YXOEL4PBNX2L · pith_short_8: T2N3YXOE

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/T2N3YXOEL4PBNX2L3VV7YVEYPV \
  | 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: 9e9bbc5dc45f1e16df4bdd6bfc54987d5ae7d023560b000285228dfe8b5a38bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df4d925de94d9efad796478c2b69f00c47a4bd3f2af0e509616052bb3019ca94",
    "cross_cats_sorted": [
      "cs.CR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2011-10-19T13:39:05Z",
    "title_canon_sha256": "8060d3c27f7d1e865c5baeb5e534f22a87615b3f62f63ea6d6ae19d65941f2ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4801",
    "kind": "arxiv",
    "version": 1
  }
}