Pith Number

pith:6CNL2KDT

pith:2025:6CNL2KDTL5I6K3QIRRXRLBAMPK

not attested not anchored not stored refs pending

Gauss sum with principal multiplicative character

Priya Dhankhar, Sanjay Kumar Singh

arxiv:2505.09996 v2 · 2025-05-15 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CNL2KDTL5I6K3QIRRXRLBAMPK}

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	2026-05-17T23:39:01.355347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f09abd28735f51e56e088c6f15840c7a891b56a8695b3ee4b133af83cced60b0

Aliases

arxiv: 2505.09996 · arxiv_version: 2505.09996v2 · doi: 10.48550/arxiv.2505.09996 · pith_short_12: 6CNL2KDTL5I6 · pith_short_16: 6CNL2KDTL5I6K3QI · pith_short_8: 6CNL2KDT

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/6CNL2KDTL5I6K3QIRRXRLBAMPK \
  | 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: f09abd28735f51e56e088c6f15840c7a891b56a8695b3ee4b133af83cced60b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42289eca32043956d3c6d437dec65894ca55a2e88058287f64c6d28fbf33ee4f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-15T06:17:56Z",
    "title_canon_sha256": "c8f3e6b8742fecc50bfb7a6f5a727d7245a7bef360ce11ded1ebe07537c674f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09996",
    "kind": "arxiv",
    "version": 2
  }
}