Pith Number

pith:Y32ZED2J

pith:2011:Y32ZED2J6MQPK3HHNU573KGBCZ

not attested not anchored not stored refs pending

Gauss sums over some matrix groups

Su Hu, Yan Li

arxiv:1105.4513 v1 · 2011-05-23 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y32ZED2J6MQPK3HHNU573KGBCZ}

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	2026-05-18T04:21:29.169043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f5920f49f320f56ce76d3bfda8c116585dbfe2a2b022f224306cf23b96cdf1

Aliases

arxiv: 1105.4513 · arxiv_version: 1105.4513v1 · doi: 10.48550/arxiv.1105.4513 · pith_short_12: Y32ZED2J6MQP · pith_short_16: Y32ZED2J6MQPK3HH · pith_short_8: Y32ZED2J

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/Y32ZED2J6MQPK3HHNU573KGBCZ \
  | 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: c6f5920f49f320f56ce76d3bfda8c116585dbfe2a2b022f224306cf23b96cdf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "044856e812c30141c6320171300f1839b3790068f7cace7651b79eeb35e1c780",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-23T14:30:59Z",
    "title_canon_sha256": "69e9f4781453f3545f010ac2c76e9c85b54a5b1eac766c09d92a08e57b65cf56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4513",
    "kind": "arxiv",
    "version": 1
  }
}