Pith Number

pith:6WC5LWJX

pith:2018:6WC5LWJXPVSGPVS7S6HGQ7W73Z

not attested not anchored not stored refs pending

Quadratic residues and quartic residues modulo primes

Zhi-Wei Sun

arxiv:1810.12102 v8 · 2018-10-22 · 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{6WC5LWJXPVSGPVS7S6HGQ7W73Z}

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	2026-07-05T01:34:19.410790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f585d5d9377d6467d65f978e687edfde4d6954095e8baaf7312c34f691196c67

Aliases

arxiv: 1810.12102 · arxiv_version: 1810.12102v8 · doi: 10.48550/arxiv.1810.12102 · pith_short_12: 6WC5LWJXPVSG · pith_short_16: 6WC5LWJXPVSGPVS7 · pith_short_8: 6WC5LWJX

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/6WC5LWJXPVSGPVS7S6HGQ7W73Z \
  | 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: f585d5d9377d6467d65f978e687edfde4d6954095e8baaf7312c34f691196c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ac65728ccba954f44ee8c3c42da19447d927e9f8da0762d866e71500c80fb3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-22T15:56:13Z",
    "title_canon_sha256": "0804c9d7c1771e0f51804ec75acf00ba39c5834de0f75352cd0eaa3a86afab39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12102",
    "kind": "arxiv",
    "version": 8
  }
}