Pith Number

pith:CFYGDLD3

pith:2023:CFYGDLD3GD2Y7LZKTGPNB4K5VT

not attested not anchored not stored refs pending

Sum of the $GL(3)$ Fourier coefficients over mixed powers

Himanshi Chanana, Saurabh Kumar Singh

arxiv:2310.11408 v2 · 2023-10-17 · 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{CFYGDLD3GD2Y7LZKTGPNB4K5VT}

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	2026-06-26T01:15:41.749072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

117061ac7b30f58faf2a999ed0f15dacd79a0b22349633502838026329dc0c5d

Aliases

arxiv: 2310.11408 · arxiv_version: 2310.11408v2 · doi: 10.48550/arxiv.2310.11408 · pith_short_12: CFYGDLD3GD2Y · pith_short_16: CFYGDLD3GD2Y7LZK · pith_short_8: CFYGDLD3

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/CFYGDLD3GD2Y7LZKTGPNB4K5VT \
  | 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: 117061ac7b30f58faf2a999ed0f15dacd79a0b22349633502838026329dc0c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee8ba0038cf8fa2a7074077f9ed8c3a5b5d725f4231e50d2dc3b7860118a0966",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-10-17T17:15:27Z",
    "title_canon_sha256": "b884f238b4932137e84fdfbea785d22b25520571685468aa7084406558a0bbf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.11408",
    "kind": "arxiv",
    "version": 2
  }
}