Pith Number

pith:P2225PVF

pith:2017:P2225PVFAGW55YQA2GPXT7XWOI

not attested not anchored not stored refs pending

Algebraic sums and products of univoque bases

Derong Kong, Karma Dajani, Vilmos Komornik, Wenxia Li

arxiv:1710.03291 v2 · 2017-10-09 · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2225PVFAGW55YQA2GPXT7XWOI}

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	2026-05-18T00:11:00.335016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb5aebea501addee200d19f79fef67207410e8059cd94c9899b2795ac485a09

Aliases

arxiv: 1710.03291 · arxiv_version: 1710.03291v2 · doi: 10.48550/arxiv.1710.03291 · pith_short_12: P2225PVFAGW5 · pith_short_16: P2225PVFAGW55YQA · pith_short_8: P2225PVF

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/P2225PVFAGW55YQA2GPXT7XWOI \
  | 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: 7eb5aebea501addee200d19f79fef67207410e8059cd94c9899b2795ac485a09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3af3c17d9c82569d53447e5fcb68ce56ec00316f89437d7b40dfc6b707d63be",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-09T20:02:21Z",
    "title_canon_sha256": "9c2756903421e379c8a16a6e89240827882bceb2ecf9e2310753fa2ef7291952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03291",
    "kind": "arxiv",
    "version": 2
  }
}