Pith Number

pith:KZELEAF2

pith:2026:KZELEAF23EVWNLBDMBDXD22YTR

not attested not anchored not stored refs pending

A Proof of a Conjecture of Zhi-Wei Sun on a Truncated Legendre-Symbol Determinant

Gaishi Yang, Yaoran Yang, Yutong Zhang

arxiv:2606.22548 v1 · 2026-06-21 · 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{KZELEAF23EVWNLBDMBDXD22YTR}

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	2026-06-23T02:13:41.302658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5648b200bad92b66ac23604771eb589c606dc38507fab12f845420a6a369aec4

Aliases

arxiv: 2606.22548 · arxiv_version: 2606.22548v1 · doi: 10.48550/arxiv.2606.22548 · pith_short_12: KZELEAF23EVW · pith_short_16: KZELEAF23EVWNLBD · pith_short_8: KZELEAF2

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/KZELEAF23EVWNLBDMBDXD22YTR \
  | 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: 5648b200bad92b66ac23604771eb589c606dc38507fab12f845420a6a369aec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c1b6f3ab73a5346fd195bc9c87dca03c20dbac770f2d2baecc4b06f1b557e5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-21T15:07:39Z",
    "title_canon_sha256": "21713edc9b47754521ac8c7be5e12649330d09479b61f973cb6c6510190fbd68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22548",
    "kind": "arxiv",
    "version": 1
  }
}