Pith Number

pith:WEUWKDEH

pith:2018:WEUWKDEHIXDACZUZ2RHCINUNN4

not attested not anchored not stored refs pending

Gauss sums of some matrix groups over $\Bbb Z/n\Bbb Z$

Guoxing He, Su Hu, Yan Li, Yingtong Meng

arxiv:1805.09729 v2 · 2018-05-24 · 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{WEUWKDEHIXDACZUZ2RHCINUNN4}

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	2026-05-18T00:00:02.078303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b129650c8745c6016699d44e24368d6f24c2e537b8634bb578ad5f367790d939

Aliases

arxiv: 1805.09729 · arxiv_version: 1805.09729v2 · doi: 10.48550/arxiv.1805.09729 · pith_short_12: WEUWKDEHIXDA · pith_short_16: WEUWKDEHIXDACZUZ · pith_short_8: WEUWKDEH

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/WEUWKDEHIXDACZUZ2RHCINUNN4 \
  | 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: b129650c8745c6016699d44e24368d6f24c2e537b8634bb578ad5f367790d939

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee60aff7d6a98fcedbb60de183c0c5caf08b4a733c803b7931917b7318f4518d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-24T15:27:14Z",
    "title_canon_sha256": "cc42fe4972083a5cbe19ac5f5d78c7c3b3efc739b611e602ccb5ed9afc762fe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09729",
    "kind": "arxiv",
    "version": 2
  }
}