Pith Number

pith:UEAG34DV

pith:2013:UEAG34DVW2AS6UDSB5CUHVEYHM

not attested not anchored not stored refs pending

P\'olya-Vinogradov and the least quadratic nonresidue

Jonathan Bober, Leo Goldmakher

arxiv:1311.7556 v2 · 2013-11-29 · 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{UEAG34DVW2AS6UDSB5CUHVEYHM}

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	2026-05-18T02:19:28.692670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1006df075b6812f50720f4543d4983b39400d7d1a7fad33a1b2e4ee3050e3f7

Aliases

arxiv: 1311.7556 · arxiv_version: 1311.7556v2 · doi: 10.48550/arxiv.1311.7556 · pith_short_12: UEAG34DVW2AS · pith_short_16: UEAG34DVW2AS6UDS · pith_short_8: UEAG34DV

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/UEAG34DVW2AS6UDSB5CUHVEYHM \
  | 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: a1006df075b6812f50720f4543d4983b39400d7d1a7fad33a1b2e4ee3050e3f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c679ec4c0571d406cd79af08f426611fbd633a0468f8e1304a15c2954a996892",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-29T13:27:32Z",
    "title_canon_sha256": "a66c9ed1c05225bba58447e463a20cf16fdba8f588d1b1dd9e5e6a2a73be5f5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7556",
    "kind": "arxiv",
    "version": 2
  }
}