Pith Number

pith:EKGBSO5O

pith:2022:EKGBSO5OJX7ESQSX4CIPFKKKQW

not attested not anchored not stored refs pending

Rational numbers in $\times b$-invariant sets

Bing Li, Ruofan Li, Yufeng Wu

arxiv:2204.07357 v1 · 2022-04-15 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EKGBSO5OJX7ESQSX4CIPFKKKQW}

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	2026-07-05T04:15:03.107163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

228c193bae4dfe494257e090f2a94a858d41ea56c37fb44d64df104f0a313f5b

Aliases

arxiv: 2204.07357 · arxiv_version: 2204.07357v1 · doi: 10.48550/arxiv.2204.07357 · pith_short_12: EKGBSO5OJX7E · pith_short_16: EKGBSO5OJX7ESQSX · pith_short_8: EKGBSO5O

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/EKGBSO5OJX7ESQSX4CIPFKKKQW \
  | 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: 228c193bae4dfe494257e090f2a94a858d41ea56c37fb44d64df104f0a313f5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70ecd2b2930eb924b72a54d32d69308ebeb9133acaa81a8c0ceb3f7ad4576263",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-04-15T07:34:45Z",
    "title_canon_sha256": "c793bcc994806ae6ec9c3a7a3fb23beb556b4f81fcb4d4ab8adc6f95cfe51c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.07357",
    "kind": "arxiv",
    "version": 1
  }
}