Pith Number

pith:ALQIQ7Y7

pith:2026:ALQIQ7Y7IIQETUHX6TH23MCCGC

not attested not anchored not stored refs pending

On structured cosine sums and applications

Qin Xue

arxiv:2607.20907 v1 · 2026-07-23 · math.NT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALQIQ7Y7IIQETUHX6TH23MCCGC}

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	2026-07-24T00:23:41.166057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02e0887f1f422049d0f7f4cfadb0423082be39208c36beb3ea79c6670e3bfd91

Aliases

arxiv: 2607.20907 · arxiv_version: 2607.20907v1 · doi: 10.48550/arxiv.2607.20907 · pith_short_12: ALQIQ7Y7IIQE · pith_short_16: ALQIQ7Y7IIQETUHX · pith_short_8: ALQIQ7Y7

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/ALQIQ7Y7IIQETUHX6TH23MCCGC \
  | 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: 02e0887f1f422049d0f7f4cfadb0423082be39208c36beb3ea79c6670e3bfd91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df326febf47945758a37e0c4c28756aed5f69425a635e5c423af17fe9716941a",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-23T04:01:11Z",
    "title_canon_sha256": "61866e63d30e63ba86e0f2cd85c8dc6494eb620eb53de8dacd1aa60ef1a8d193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20907",
    "kind": "arxiv",
    "version": 1
  }
}