Pith Number

pith:CTJG46YI

pith:2022:CTJG46YIFIQ225LWQRUCGJCKFA

not attested not anchored not stored refs pending

Legendre symbols related to certain determinants

Xin-Qi Luo, Zhi-Wei Sun

arxiv:2210.14741 v3 · 2022-10-26 · 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{CTJG46YIFIQ225LWQRUCGJCKFA}

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	2026-07-05T06:11:42.940253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d26e7b082a21ad7576846823244a282e545a1c2851a1ca8dfbf4a6c1eaae40

Aliases

arxiv: 2210.14741 · arxiv_version: 2210.14741v3 · doi: 10.48550/arxiv.2210.14741 · pith_short_12: CTJG46YIFIQ2 · pith_short_16: CTJG46YIFIQ225LW · pith_short_8: CTJG46YI

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/CTJG46YIFIQ225LWQRUCGJCKFA \
  | 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: 14d26e7b082a21ad7576846823244a282e545a1c2851a1ca8dfbf4a6c1eaae40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1902f60d13791eeeadff01c0139a3a262492c53cba994b184b5aa4c4cb2cc8c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-10-26T14:19:47Z",
    "title_canon_sha256": "7f133c8fc260a21de0e46c37dd9d4ccc63ab4644430ba292369ad753d1250e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.14741",
    "kind": "arxiv",
    "version": 3
  }
}