Pith Number

pith:7QLJJSXL

pith:2011:7QLJJSXLJSTQQ42RP2VOF3LF2Q

not attested not anchored not stored refs pending

Square root Bound on the Least Power Non-residue using a Sylvester-Vandermonde Determinant

Chandan Saha, Michael Forbes, Neeraj Kayal, Rajat Mittal

arxiv:1104.4557 v1 · 2011-04-23 · math.NT · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QLJJSXLJSTQQ42RP2VOF3LF2Q}

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	2026-05-18T04:23:33.880259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc1694caeb4ca70873517eaae2ed65d419deb90c1452a3ddab3068e632be5357

Aliases

arxiv: 1104.4557 · arxiv_version: 1104.4557v1 · doi: 10.48550/arxiv.1104.4557 · pith_short_12: 7QLJJSXLJSTQ · pith_short_16: 7QLJJSXLJSTQQ42R · pith_short_8: 7QLJJSXL

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/7QLJJSXLJSTQQ42RP2VOF3LF2Q \
  | 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: fc1694caeb4ca70873517eaae2ed65d419deb90c1452a3ddab3068e632be5357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf06de7970aac188c51bb9ce7f17b37170676e732a0f2b88e93b15a348d3b0df",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-23T13:37:14Z",
    "title_canon_sha256": "9983777837a7686c16fd82ed1645f4c503a7fa0fd3da2a3d469375d29e94217d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4557",
    "kind": "arxiv",
    "version": 1
  }
}