Pith Number

pith:ZSMMBUJD

pith:2015:ZSMMBUJDM5RVQSSALPIF77MFWJ

not attested not anchored not stored refs pending

On simultaneous approximation of the values of certain Mahler functions

Keijo V\"a\"an\"anen, Wen Wu

arxiv:1505.00931 v2 · 2015-05-05 · 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{ZSMMBUJDM5RVQSSALPIF77MFWJ}

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	2026-05-18T01:11:51.681239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc98c0d1236763584a405bd05ffd85b2649fd9ccefcdf7e2d3b45d7d936c9e5d

Aliases

arxiv: 1505.00931 · arxiv_version: 1505.00931v2 · doi: 10.48550/arxiv.1505.00931 · pith_short_12: ZSMMBUJDM5RV · pith_short_16: ZSMMBUJDM5RVQSSA · pith_short_8: ZSMMBUJD

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/ZSMMBUJDM5RVQSSALPIF77MFWJ \
  | 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: cc98c0d1236763584a405bd05ffd85b2649fd9ccefcdf7e2d3b45d7d936c9e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5530a4bc9f32419fffad155688d6bc1b8247c16afbd8b6e9bfd8f1ce98138d45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-05T09:21:38Z",
    "title_canon_sha256": "462dbae594f0407f9ca3287a25d4c0310ac08e0bc09bc7a9362f96d57a2a7a96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00931",
    "kind": "arxiv",
    "version": 2
  }
}