Pith Number

pith:C3E6J34A

pith:2016:C3E6J34ANXUURWIDE6BAUPQCLH

not attested not anchored not stored refs pending

The Least Number with Prescribed Legendre Symbols

Brandon Hanson, Robert C. Vaughan, Ruixiang Zhang

arxiv:1605.05584 v2 · 2016-05-18 · 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{C3E6J34ANXUURWIDE6BAUPQCLH}

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	2026-05-18T01:00:53.052029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16c9e4ef806de948d90327820a3e0259cb27bfac3d98b498378cdd3258521fc2

Aliases

arxiv: 1605.05584 · arxiv_version: 1605.05584v2 · doi: 10.48550/arxiv.1605.05584 · pith_short_12: C3E6J34ANXUU · pith_short_16: C3E6J34ANXUURWID · pith_short_8: C3E6J34A

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/C3E6J34ANXUURWIDE6BAUPQCLH \
  | 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: 16c9e4ef806de948d90327820a3e0259cb27bfac3d98b498378cdd3258521fc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe960d86045d5b591b699723dfd3c3eb9d6f08a5bceac753177f9e1478d68947",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-18T14:02:56Z",
    "title_canon_sha256": "0c6219e9f2372718c903d35481d15d4db20d03fa2f1f658b49c86a95629590ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05584",
    "kind": "arxiv",
    "version": 2
  }
}