Pith Number

pith:IW3JVZWW

pith:2018:IW3JVZWWTBR5FG2ASI6EGSUNCI

not attested not anchored not stored refs pending

Quadratic residues and related permutations and identities

Zhi-Wei Sun

arxiv:1809.07766 v10 · 2018-09-20 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IW3JVZWWTBR5FG2ASI6EGSUNCI}

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	2026-05-17T23:41:12.917892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b69ae6d69863d29b40923c434a8d120d83e33b4c2747c2005e62b1bd60d915

Aliases

arxiv: 1809.07766 · arxiv_version: 1809.07766v10 · doi: 10.48550/arxiv.1809.07766 · pith_short_12: IW3JVZWWTBR5 · pith_short_16: IW3JVZWWTBR5FG2A · pith_short_8: IW3JVZWW

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/IW3JVZWWTBR5FG2ASI6EGSUNCI \
  | 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: 45b69ae6d69863d29b40923c434a8d120d83e33b4c2747c2005e62b1bd60d915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "479cdfa3fd8a1caa7f0447ea43a735bda5b5a9bcedf90a755c33489f4e09bb16",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-20T15:14:34Z",
    "title_canon_sha256": "b6502027ee940cddc6e187b75f34d7e4b1450cd10a75b192fbacdd8e428bfe06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07766",
    "kind": "arxiv",
    "version": 10
  }
}