Pith Number

pith:67SZEHHY

pith:2024:67SZEHHYN6MLPNGM3H5L6IUGWT

not attested not anchored not stored refs pending

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals

Han Yu, Sam Chow

arxiv:2412.12070 v2 · 2024-12-16 · 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{67SZEHHYN6MLPNGM3H5L6IUGWT}

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.

Cited by

1 paper in Pith

Metric results for dyadic approximation on the middle-third Cantor set

Receipt and verification

First computed	2026-07-05T11:49:05.946705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e5921cf86f98b7b4ccd9fabf2286b4c6beec35ef64dd066af0f1a41562f3c0

Aliases

arxiv: 2412.12070 · arxiv_version: 2412.12070v2 · doi: 10.48550/arxiv.2412.12070 · pith_short_12: 67SZEHHYN6ML · pith_short_16: 67SZEHHYN6MLPNGM · pith_short_8: 67SZEHHY

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/67SZEHHYN6MLPNGM3H5L6IUGWT \
  | 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: f7e5921cf86f98b7b4ccd9fabf2286b4c6beec35ef64dd066af0f1a41562f3c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ef63361b17996b94f5b7034de2cd4acb7cc671f94493a59ca0a0269462b54ee",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-16T18:44:05Z",
    "title_canon_sha256": "59cafb3aec8711aca83c417aa26c9f9ffdf031f7cc5dfe2f83bf336b3f18e1a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12070",
    "kind": "arxiv",
    "version": 2
  }
}