Pith Number

pith:LZKO5BLX

pith:2026:LZKO5BLX2TCVFG623ETUDPW2TI

not attested not anchored not stored refs pending

The inhomogeneous Khintchine Theorem in dimension two

Demi Allen, Felipe A. Ram\'irez, Manuel Hauke-Treuer

arxiv:2605.19582 v1 · 2026-05-19 · 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{LZKO5BLX2TCVFG623ETUDPW2TI}

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	2026-05-20T01:05:52.823310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e54ee8577d4c5529bdad92741beda9a38f881dc9bbbe5e91417fd2b49fcbe28

Aliases

arxiv: 2605.19582 · arxiv_version: 2605.19582v1 · doi: 10.48550/arxiv.2605.19582 · pith_short_12: LZKO5BLX2TCV · pith_short_16: LZKO5BLX2TCVFG62 · pith_short_8: LZKO5BLX

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/LZKO5BLX2TCVFG623ETUDPW2TI \
  | 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: 5e54ee8577d4c5529bdad92741beda9a38f881dc9bbbe5e91417fd2b49fcbe28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc7af82d39f86641dcd0b14c7dbbb3e0a2a112bde6d5e1edd5114eca543fe2b3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-19T09:25:12Z",
    "title_canon_sha256": "7dcab04308307e76129d8fb4351599f11dbb857a8b3161c42d726b18ff5aacd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19582",
    "kind": "arxiv",
    "version": 1
  }
}