Pith Number

pith:CGFKREJK

pith:2016:CGFKREJKSMXBDY7TM36S52OQOS

not attested not anchored not stored refs pending

A variant of Waring's Problem for the ring of integers modulo n

Alex Iosevich, David Covert, Jonathan Pakianathan

arxiv:1609.02090 v2 · 2016-09-07 · 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{CGFKREJKSMXBDY7TM36S52OQOS}

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	2026-05-18T00:36:24.599787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118aa8912a932e11e3f366fd2ee9d074802c1227c088f9e23f7f2abe318e1d07

Aliases

arxiv: 1609.02090 · arxiv_version: 1609.02090v2 · doi: 10.48550/arxiv.1609.02090 · pith_short_12: CGFKREJKSMXB · pith_short_16: CGFKREJKSMXBDY7T · pith_short_8: CGFKREJK

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/CGFKREJKSMXBDY7TM36S52OQOS \
  | 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: 118aa8912a932e11e3f366fd2ee9d074802c1227c088f9e23f7f2abe318e1d07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5580640a2f904652ad3730abb9e44285ad47e98ae9020321a4e080309f09546e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-07T17:49:22Z",
    "title_canon_sha256": "efc2ca22a71a2c1b56336e8308be67ecb7f1b2a49bdab5fc48093e9f41d838dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02090",
    "kind": "arxiv",
    "version": 2
  }
}