Pith Number

pith:WRKRRBQG

pith:2018:WRKRRBQGA6TQH6JZNUSBMBI72O

not attested not anchored not stored refs pending

Waring's Theorem for Binary Powers

Carlo Sanna, Daniel M. Kane, Jeffrey Shallit

arxiv:1801.04483 v1 · 2018-01-13 · math.NT · cs.DM · 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{WRKRRBQGA6TQH6JZNUSBMBI72O}

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	2026-05-18T00:26:06.355312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b45518860607a703f9396d2416051fd39b17b4e49529b4859a94cc1be173c4a2

Aliases

arxiv: 1801.04483 · arxiv_version: 1801.04483v1 · doi: 10.48550/arxiv.1801.04483 · pith_short_12: WRKRRBQGA6TQ · pith_short_16: WRKRRBQGA6TQH6JZ · pith_short_8: WRKRRBQG

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/WRKRRBQGA6TQH6JZNUSBMBI72O \
  | 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: b45518860607a703f9396d2416051fd39b17b4e49529b4859a94cc1be173c4a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00aad2d7612db40ec63cc6f8e668a7eb6f662b8743d0ab5ec10d719b8c35d816",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-13T20:17:25Z",
    "title_canon_sha256": "51a3984e3488e44904a866997c14b82b3c4810459835fb4b3e41b16903a8c354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04483",
    "kind": "arxiv",
    "version": 1
  }
}