Pith Number

pith:CQDIFL6K

pith:2023:CQDIFL6KGZ422TJFU3V6HEJYVU

not attested not anchored not stored refs pending

Some remarks on the $[x/n]$-sequence

Kota Saito, Wataru Takeda, Yuta Suzuki, Yuuya Yoshida

arxiv:2312.15642 v1 · 2023-12-25 · 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{CQDIFL6KGZ422TJFU3V6HEJYVU}

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	2026-07-05T11:28:09.512103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

140682afca3679ad4d25a6ebe39138ad15f6bdbdbdc03cb8a5fe432809d9f456

Aliases

arxiv: 2312.15642 · arxiv_version: 2312.15642v1 · doi: 10.48550/arxiv.2312.15642 · pith_short_12: CQDIFL6KGZ42 · pith_short_16: CQDIFL6KGZ422TJF · pith_short_8: CQDIFL6K

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/CQDIFL6KGZ422TJFU3V6HEJYVU \
  | 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: 140682afca3679ad4d25a6ebe39138ad15f6bdbdbdc03cb8a5fe432809d9f456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b42b1bc46a8032563f7ebda4b951e3101590532fa67e2bdfd4a9dac278199478",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-25T08:05:26Z",
    "title_canon_sha256": "74de97c07663d6de74a2ff2ea5313ace1386019277e63b3a5e62132f3cd517c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.15642",
    "kind": "arxiv",
    "version": 1
  }
}