Pith Number

pith:GAZ5WXAV

pith:2014:GAZ5WXAVAHODRFQTDZR5SCHKDU

not attested not anchored not stored refs pending

Evaluating Prime Power Gauss and Jacobi Sums

Christopher Pinner, Misty Long, Vincent Pigno

arxiv:1410.6179 v1 · 2014-10-22 · 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{GAZ5WXAVAHODRFQTDZR5SCHKDU}

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	2026-05-18T02:39:31.440099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3033db5c1501dc3896131e63d908ea1d29c91b6532385aa43aef0e081e8dd692

Aliases

arxiv: 1410.6179 · arxiv_version: 1410.6179v1 · doi: 10.48550/arxiv.1410.6179 · pith_short_12: GAZ5WXAVAHOD · pith_short_16: GAZ5WXAVAHODRFQT · pith_short_8: GAZ5WXAV

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/GAZ5WXAVAHODRFQTDZR5SCHKDU \
  | 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: 3033db5c1501dc3896131e63d908ea1d29c91b6532385aa43aef0e081e8dd692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3075ea871a19b7096ee8284bc8101414adfc2aaa74c61ad879ec6e2749119449",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-22T20:23:19Z",
    "title_canon_sha256": "7a6e26d5878e5998c44c622be9fa5587f0b5cb8115a0bbbb468a33866bd131b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6179",
    "kind": "arxiv",
    "version": 1
  }
}