Pith Number

pith:WU6BJ5BA

pith:2009:WU6BJ5BAONQK64W4W4T6J2ADJE

not attested not anchored not stored refs pending

Complete Solving for Explicit Evaluation of Gauss Sums in the Index 2 Case

Jing Yang, Lingli Xia

arxiv:0911.5472 v3 · 2009-11-29 · 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{WU6BJ5BAONQK64W4W4T6J2ADJE}

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	2026-05-18T03:51:24.020775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b53c14f4207360af72dcb727e4e803491086f94a6c595938a270b891f2b0c3ee

Aliases

arxiv: 0911.5472 · arxiv_version: 0911.5472v3 · doi: 10.48550/arxiv.0911.5472 · pith_short_12: WU6BJ5BAONQK · pith_short_16: WU6BJ5BAONQK64W4 · pith_short_8: WU6BJ5BA

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/WU6BJ5BAONQK64W4W4T6J2ADJE \
  | 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: b53c14f4207360af72dcb727e4e803491086f94a6c595938a270b891f2b0c3ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbe91fa38855e779120c23e0f065b62ed35bf3a2119a2e19464c60c961ee9ef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-29T09:41:05Z",
    "title_canon_sha256": "0d51f89e0fa92125dec3997a8363f3fdb41f14a2c9061caf84c0d8cd24960582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5472",
    "kind": "arxiv",
    "version": 3
  }
}