Pith Number

pith:HJBLPT5K

pith:2025:HJBLPT5KNIKYNLLCFHU24I6FY7

not attested not anchored not stored refs pending

Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target

Felipe A. Ram\'irez, Gilbert Michaud

arxiv:2506.04187 v2 · 2025-06-04 · 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{HJBLPT5KNIKYNLLCFHU24I6FY7}

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	2026-07-05T11:24:21.983249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a42b7cfaa6a1586ad6229e9ae23c5c7c22d470063e70609782e186d32998ae1

Aliases

arxiv: 2506.04187 · arxiv_version: 2506.04187v2 · doi: 10.48550/arxiv.2506.04187 · pith_short_12: HJBLPT5KNIKY · pith_short_16: HJBLPT5KNIKYNLLC · pith_short_8: HJBLPT5K

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/HJBLPT5KNIKYNLLCFHU24I6FY7 \
  | 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: 3a42b7cfaa6a1586ad6229e9ae23c5c7c22d470063e70609782e186d32998ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7048a0d6160b8a909a846f146ebc1d8b94e2abaa893cdbfc82ef43c28969e315",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-04T17:32:03Z",
    "title_canon_sha256": "ef4d4978c15972589f5f5d712015388a8f666893d41ed9979864d0750a8aa64c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04187",
    "kind": "arxiv",
    "version": 2
  }
}