Pith Number

pith:DNGMTXLZ

pith:2013:DNGMTXLZTIYPHIKANDO3NKSJYG

not attested not anchored not stored refs pending

Algebraic independence and normality of the values of Mahler's functions

Evgeniy Zorin

arxiv:1309.0105 v3 · 2013-08-31 · math.NT

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\usepackage{pith}
\pithnumber{DNGMTXLZTIYPHIKANDO3NKSJYG}

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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

A Liouville-Type Inequality for Values of Mahler M-Functions

Receipt and verification

First computed	2026-05-18T00:43:09.915099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4cc9dd799a30f3a14068ddb6aa49c19632c96e99ec951ba155551d6adf0c43

Aliases

arxiv: 1309.0105 · arxiv_version: 1309.0105v3 · doi: 10.48550/arxiv.1309.0105 · pith_short_12: DNGMTXLZTIYP · pith_short_16: DNGMTXLZTIYPHIKA · pith_short_8: DNGMTXLZ

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/DNGMTXLZTIYPHIKANDO3NKSJYG \
  | 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: 1b4cc9dd799a30f3a14068ddb6aa49c19632c96e99ec951ba155551d6adf0c43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168a24220a36efc8c86485fd4b4004553a14644a60946b5fb1d69ebc5479cfcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-31T12:27:43Z",
    "title_canon_sha256": "c05c31a9bff0fecb4a166ca62bfa7d0f1c4a9d50aeb846abfb76fe2b605d8e9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0105",
    "kind": "arxiv",
    "version": 3
  }
}