Pith Number

pith:U5OCRTZV

pith:2018:U5OCRTZV7RSANJRBCOQ2IBIVOC

not attested not anchored not stored refs pending

On uniformity of $q$-multiplicative sequences

Aihua Fan, Jakub Konieczny

arxiv:1806.04267 v2 · 2018-06-11 · math.NT · math.CO · 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{U5OCRTZV7RSANJRBCOQ2IBIVOC}

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	2026-05-17T23:50:13.420626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a75c28cf35fc6406a62113a1a4051570bf6b72d726fb671bf472dce414ba5a8c

Aliases

arxiv: 1806.04267 · arxiv_version: 1806.04267v2 · doi: 10.48550/arxiv.1806.04267 · pith_short_12: U5OCRTZV7RSA · pith_short_16: U5OCRTZV7RSANJRB · pith_short_8: U5OCRTZV

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/U5OCRTZV7RSANJRBCOQ2IBIVOC \
  | 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: a75c28cf35fc6406a62113a1a4051570bf6b72d726fb671bf472dce414ba5a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d63266035d6cbd7ba70dccdec3a39409da26448cbd3c924babf362bd9c873d46",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-11T23:28:32Z",
    "title_canon_sha256": "ebd013ed4e6fcf014d013dc137fcdd88ca489209fc0a33ff074b64088edb536b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04267",
    "kind": "arxiv",
    "version": 2
  }
}